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23542893216 = 253329939611
BaseRepresentation
bin10101111011010001…
…000000101010100000
32020202202002220002000
4111323101000222200
5341203440040331
614452045524000
71462262201433
oct257321005240
966682086060
1023542893216
119a91393147
124690573600
1322b26b195b
1411d4a4b81a
1592bcec0e6
hex57b440aa0

23542893216 has 96 divisors (see below), whose sum is σ = 71034667200. Its totient is φ = 7577015040.

The previous prime is 23542893203. The next prime is 23542893233. The reversal of 23542893216 is 61239824532.

23542893216 is a `hidden beast` number, since 2 + 3 + 5 + 428 + 9 + 3 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444750 + ... + 494861.

It is an arithmetic number, because the mean of its divisors is an integer number (739944450).

Almost surely, 223542893216 is an apocalyptic number.

It is an amenable number.

23542893216 is an abundant number, since it is smaller than the sum of its proper divisors (47491773984).

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

23542893216 is a wasteful number, since it uses less digits than its factorization.

23542893216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939659 (or 939645 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 23542893216 in words is "twenty-three billion, five hundred forty-two million, eight hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 939611 1879222 2818833 3758444 5637666 7516888 8456499 11275332 15033776 16912998 22550664 25369497 27248719 30067552 33825996 45101328 50738994 54497438 67651992 81746157 90202656 101477988 108994876 135303984 163492314 202955976 217989752 245238471 270607968 326984628 405911952 435979504 490476942 653969256 735715413 811823904 871959008 980953884 1307938512 1471430826 1961907768 2615877024 2942861652 3923815536 5885723304 7847631072 11771446608 23542893216