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23605864164 = 22322928832
BaseRepresentation
bin10101111111000001…
…001110011011100100
32020221010121010222100
4111333001032123210
5341321100123124
614502215332100
71463655351261
oct257701163344
966833533870
1023605864164
11a013993153
1246a9681030
1322c275bc7c
1411dd160268
159325da1c9
hex57f04e6e4

23605864164 has 81 divisors (see below), whose sum is σ = 61868996553. Its totient is φ = 7588685664.

The previous prime is 23605864151. The next prime is 23605864201. The reversal of 23605864164 is 46146850632.

The square root of 23605864164 is 153642.

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

23605864164 is a `hidden beast` number, since 2 + 3 + 6 + 0 + 586 + 4 + 1 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12378342564 + 11227521600 = 111258^2 + 105960^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26733267 + ... + 26734149.

Almost surely, 223605864164 is an apocalyptic number.

23605864164 is the 153642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23605864164

23605864164 is an abundant number, since it is smaller than the sum of its proper divisors (38263132389).

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

23605864164 is an equidigital number, since it uses as much as digits as its factorization.

23605864164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 23605864164 in words is "twenty-three billion, six hundred five million, eight hundred sixty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 883 1044 1682 1766 2523 2649 3364 3532 5046 5298 7569 7947 10092 10596 15138 15894 25607 30276 31788 51214 76821 102428 153642 230463 307284 460926 742603 779689 921852 1485206 1559378 2227809 2339067 2970412 3118756 4455618 4678134 6683427 7017201 8911236 9356268 13366854 14034402 22610981 26733708 28068804 45221962 67832943 90443924 135665886 203498829 271331772 406997658 655718449 813995316 1311436898 1967155347 2622873796 3934310694 5901466041 7868621388 11802932082 23605864164