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2151396576 = 253271636547
BaseRepresentation
bin1000000000111011…
…1011010011100000
312112221020021021200
42000032323103200
513401224142301
6553251521200
7104212366140
oct20016732340
95487207250
102151396576
11a044530aa
125005b9200
13283944b34
14165a28920
15c8d1ac86
hex803bb4e0

2151396576 has 144 divisors (see below), whose sum is σ = 7036009344. Its totient is φ = 610820352.

The previous prime is 2151396539. The next prime is 2151396593. The reversal of 2151396576 is 6756931512.

2151396576 is a `hidden beast` number, since 2 + 1 + 513 + 9 + 65 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325335 + ... + 331881.

It is an arithmetic number, because the mean of its divisors is an integer number (48861176).

Almost surely, 22151396576 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 2151396576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518004672).

2151396576 is an abundant number, since it is smaller than the sum of its proper divisors (4884612768).

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

2151396576 is a wasteful number, since it uses less digits than its factorization.

2151396576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6722 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 2151396576 is about 46383.1496990017. The cubic root of 2151396576 is about 1290.9422789157.

The spelling of 2151396576 in words is "two billion, one hundred fifty-one million, three hundred ninety-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 163 168 224 252 288 326 336 489 504 652 672 978 1008 1141 1304 1467 1956 2016 2282 2608 2934 3423 3912 4564 5216 5868 6547 6846 7824 9128 10269 11736 13094 13692 15648 18256 19641 20538 23472 26188 27384 36512 39282 41076 45829 46944 52376 54768 58923 78564 82152 91658 104752 109536 117846 137487 157128 164304 183316 209504 235692 274974 314256 328608 366632 412461 471384 549948 628512 733264 824922 942768 1067161 1099896 1466528 1649844 1885536 2134322 2199792 3201483 3299688 4268644 4399584 6402966 6599376 7470127 8537288 9604449 12805932 13198752 14940254 17074576 19208898 22410381 25611864 29880508 34149152 38417796 44820762 51223728 59761016 67231143 76835592 89641524 102447456 119522032 134462286 153671184 179283048 239044064 268924572 307342368 358566096 537849144 717132192 1075698288 2151396576