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23437905696 = 2532196763929
BaseRepresentation
bin10101110101000000…
…100000111100100000
32020111102112222021100
4111311000200330200
5341000100440241
614433415354400
71456545624402
oct256500407440
966442488240
1023437905696
119a380a54a7
124661382a00
132296a12c6a
1411c4b1cb72
159229ae9b6
hex575020f20

23437905696 has 144 divisors (see below), whose sum is σ = 71207791200. Its totient is φ = 7290860544.

The previous prime is 23437905587. The next prime is 23437905697. The reversal of 23437905696 is 69650973432.

23437905696 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 79 + 0 + 569 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23437905697) by changing a digit.

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, 334660 + ... + 398588.

It is an arithmetic number, because the mean of its divisors is an integer number (494498550).

Almost surely, 223437905696 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 23437905696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35603895600).

23437905696 is an abundant number, since it is smaller than the sum of its proper divisors (47769885504).

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

23437905696 is a wasteful number, since it uses less digits than its factorization.

23437905696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64031 (or 64020 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 23437905696 in words is "twenty-three billion, four hundred thirty-seven million, nine hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 67 72 76 96 114 134 144 152 171 201 228 268 288 304 342 402 456 536 603 608 684 804 912 1072 1206 1273 1368 1608 1824 2144 2412 2546 2736 3216 3819 4824 5092 5472 6432 7638 9648 10184 11457 15276 19296 20368 22914 30552 40736 45828 61104 63929 91656 122208 127858 183312 191787 255716 366624 383574 511432 575361 767148 1022864 1150722 1214651 1534296 2045728 2301444 2429302 3068592 3643953 4283243 4602888 4858604 6137184 7287906 8566486 9205776 9717208 10931859 12849729 14575812 17132972 18411552 19434416 21863718 25699458 29151624 34265944 38549187 38868832 43727436 51398916 58303248 68531888 77098374 81381617 87454872 102797832 116606496 137063776 154196748 162763234 174909744 205595664 244144851 308393496 325526468 349819488 411191328 488289702 616786992 651052936 732434553 976579404 1233573984 1302105872 1464869106 1953158808 2604211744 2929738212 3906317616 5859476424 7812635232 11718952848 23437905696