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23690135056 = 24722322392
BaseRepresentation
bin10110000100000010…
…101100011000010000
32021011000011112220111
4112010002230120100
5342004133310211
614514425451104
71466030553100
oct260402543020
967130145814
1023690135056
11a057511115
124711940a94
1323070562c3
14120a419200
15939bd4421
hex5840ac610

23690135056 has 135 divisors (see below), whose sum is σ = 56050358511. Its totient is φ = 9670850112.

The previous prime is 23690135041. The next prime is 23690135059. The reversal of 23690135056 is 65053109632.

It is a happy number.

The square root of 23690135056 is 153916.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×236901350562 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23690135059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99121785 + ... + 99122023.

Almost surely, 223690135056 is an apocalyptic number.

23690135056 is the 153916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23690135056

23690135056 is an abundant number, since it is smaller than the sum of its proper divisors (32360223455).

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

23690135056 is an equidigital number, since it uses as much as digits as its factorization.

23690135056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The spelling of 23690135056 in words is "twenty-three billion, six hundred ninety million, one hundred thirty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 239 322 368 392 478 529 644 784 956 1058 1127 1288 1673 1912 2116 2254 2576 3346 3703 3824 4232 4508 5497 6692 7406 8464 9016 10994 11711 13384 14812 18032 21988 23422 25921 26768 29624 38479 43976 46844 51842 57121 59248 76958 87952 93688 103684 114242 126431 153916 187376 207368 228484 252862 269353 307832 399847 414736 456968 505724 538706 615664 799694 885017 913936 1011448 1077412 1313783 1599388 1770034 2022896 2154824 2627566 2798929 3198776 3540068 4309648 5255132 5597858 6195119 6397552 7080136 9196481 10510264 11195716 12390238 14160272 18392962 21020528 22391432 24780476 30217009 36785924 44782864 49560952 60434018 64375367 73571848 99121904 120868036 128750734 147143696 211519063 241736072 257501468 423038126 483472144 515002936 846076252 1030005872 1480633441 1692152504 2961266882 3384305008 5922533764 11845067528 23690135056