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5262960000 = 2735421929
BaseRepresentation
bin1001110011011001…
…00110010110000000
3111120210012001212110
410321230212112000
541234304210000
62230123255320
7244264264464
oct47154462600
914523161773
105262960000
112260892821
12102a67a540
1365b48b21c
1437cd924a4
1520c09a850
hex139b26580

5262960000 has 160 divisors (see below), whose sum is σ = 17469876600. Its totient is φ = 1403392000.

The previous prime is 5262959941. The next prime is 5262960007. The reversal of 5262960000 is 692625.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 5262960000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5262960007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 229036 + ... + 250964.

Almost surely, 25262960000 is an apocalyptic number.

5262960000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5262960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8734938300).

5262960000 is an abundant number, since it is smaller than the sum of its proper divisors (12206916600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5262960000 is an equidigital number, since it uses as much as digits as its factorization.

5262960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21966 (or 21939 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5262960000 is about 72546.2611028301. The cubic root of 5262960000 is about 1739.4422839330.

The spelling of 5262960000 in words is "five billion, two hundred sixty-two million, nine hundred sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 21929 24000 30000 40000 43858 48000 60000 65787 80000 87716 109645 120000 131574 175432 219290 240000 263148 328935 350864 438580 526296 548225 657870 701728 877160 1052592 1096450 1315740 1403456 1644675 1754320 2105184 2192900 2631480 2741125 2806912 3289350 3508640 4210368 4385800 5262960 5482250 6578700 7017280 8223375 8420736 8771600 10525920 10964500 13157400 13705625 14034560 16446750 17543200 21051840 21929000 26314800 27411250 32893500 35086400 41116875 42103680 43858000 52629600 54822500 65787000 70172800 82233750 87716000 105259200 109645000 131574000 164467500 175432000 210518400 219290000 263148000 328935000 350864000 438580000 526296000 657870000 877160000 1052592000 1315740000 1754320000 2631480000 5262960000