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6505000000 = 26571301
BaseRepresentation
bin1100000111011101…
…00110110001000000
3121210100022020102221
412003232212301000
5101310240000000
62553252420424
7320125405402
oct60356466100
917710266387
106505000000
1128389a2864
121316617714
137c88b1935
14459d06b72
1528113c61a
hex183ba6c40

6505000000 has 112 divisors (see below), whose sum is σ = 16147810224. Its totient is φ = 2600000000.

The previous prime is 6504999989. The next prime is 6505000009. The reversal of 6505000000 is 5056.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2706496576 + 3798503424 = 52024^2 + 61632^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (6505000009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4999350 + ... + 5000650.

It is an arithmetic number, because the mean of its divisors is an integer number (144176877).

Almost surely, 26505000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6505000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073905112).

6505000000 is an abundant number, since it is smaller than the sum of its proper divisors (9642810224).

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

6505000000 is an frugal number, since it uses more digits than its factorization.

6505000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 6505000000 is about 80653.5802057168. The cubic root of 6505000000 is about 1866.7339828332.

Adding to 6505000000 its reverse (5056), we get a palindrome (6505005056).

The spelling of 6505000000 in words is "six billion, five hundred five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1301 1600 2000 2500 2602 3125 4000 5000 5204 6250 6505 8000 10000 10408 12500 13010 15625 20000 20816 25000 26020 31250 32525 40000 41632 50000 52040 62500 65050 78125 83264 100000 104080 125000 130100 156250 162625 200000 208160 250000 260200 312500 325250 416320 500000 520400 625000 650500 813125 1000000 1040800 1250000 1301000 1626250 2081600 2500000 2602000 3252500 4065625 5000000 5204000 6505000 8131250 10408000 13010000 16262500 20328125 26020000 32525000 40656250 52040000 65050000 81312500 101640625 130100000 162625000 203281250 260200000 325250000 406562500 650500000 813125000 1301000000 1626250000 3252500000 6505000000