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23456965432 = 231719431071973
BaseRepresentation
bin10101110110001001…
…001110001100111000
32020112202102022022111
4111312021032030320
5341014440343212
614435340102104
71460166626215
oct256611161470
966482368274
1023456965432
119a4793334a
124667834934
13229a957404
1411c7480b0c
159244c6ea7
hex57624e338

23456965432 has 128 divisors (see below), whose sum is σ = 50654419200. Its totient is φ = 10113804288.

The previous prime is 23456965391. The next prime is 23456965439.

23456965432 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23456965439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11887998 + ... + 11889970.

It is an arithmetic number, because the mean of its divisors is an integer number (395737650).

Almost surely, 223456965432 is an apocalyptic number.

It is an amenable number.

23456965432 is an abundant number, since it is smaller than the sum of its proper divisors (27197453768).

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

23456965432 is a wasteful number, since it uses less digits than its factorization.

23456965432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2161 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 49.

The spelling of 23456965432 in words is "twenty-three billion, four hundred fifty-six million, nine hundred sixty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 17 19 34 38 43 68 76 86 107 136 152 172 214 323 344 428 646 731 817 856 1292 1462 1634 1819 1973 2033 2584 2924 3268 3638 3946 4066 4601 5848 6536 7276 7892 8132 9202 13889 14552 15784 16264 18404 27778 33541 34561 36808 37487 55556 67082 69122 74974 78217 84839 87419 111112 134164 138244 149948 156434 169678 174838 211111 268328 276488 299896 312868 339356 349676 422222 625736 637279 678712 699352 844444 1274558 1442263 1486123 1611941 1688888 2549116 2884526 2972246 3223882 3588887 4011109 5098232 5769052 5944492 6447764 7177774 8022218 9077773 11538104 11888984 12895528 14355548 16044436 18155546 27402997 28711096 32088872 36311092 54805994 68188853 72622184 109611988 136377706 154322141 172477687 219223976 272755412 308644282 344955374 545510824 617288564 689910748 1234577128 1379821496 2932120679 5864241358 11728482716 23456965432