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93164154056964 = 2234172315432
BaseRepresentation
bin10101001011101101111000…
…010011101111000100000100
3110012212101222002011122210000
4111023231320103233010010
544202400141414310324
6530051004352201300
725423613405266344
oct2513557023570404
9405771862148700
1093164154056964
11277597721a9521
12a547a06839230
133cca45a598303
1419012520a6d24
15ab86305b49c9
hex54bb784ef104

93164154056964 has 135 divisors (see below), whose sum is σ = 258726876959397. Its totient is φ = 29227043293056.

The previous prime is 93164154056957. The next prime is 93164154056993. The reversal of 93164154056964 is 46965045146139.

It is a happy number.

The square root of 93164154056964 is 9652158.

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

93164154056964 is a `hidden beast` number, since 9 + 3 + 1 + 6 + 4 + 1 + 5 + 4 + 0 + 569 + 64 = 666.

93164154056964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 72532645892100 + 20631508164864 = 8516610^2 + 4542192^2 .

It is a super-2 number, since 2×931641540569642 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2953544577 + ... + 2953576119.

Almost surely, 293164154056964 is an apocalyptic number.

93164154056964 is the 9652158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93164154056964

93164154056964 is an abundant number, since it is smaller than the sum of its proper divisors (165562722902433).

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

93164154056964 is an frugal number, since it uses more digits than its factorization.

93164154056964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63136 (or 31565 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 93164154056964 in words is "ninety-three trillion, one hundred sixty-four billion, one hundred fifty-four million, fifty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2601 2754 3468 5202 5508 7803 10404 15606 23409 31212 31543 46818 63086 93636 94629 126172 189258 283887 378516 536231 567774 851661 1072462 1135548 1608693 1703322 2144924 2554983 3217386 3406644 4826079 5109966 6434772 9115927 9652158 10219932 14478237 18231854 19304316 27347781 28956474 36463708 43434711 54695562 57912948 82043343 86869422 109391124 164086686 173738844 246130029 328173372 492260058 738390087 984520116 994960849 1476780174 1989921698 2953560348 2984882547 3979843396 5969765094 8954647641 11939530188 16914334433 17909295282 26863942923 33828668866 35818590564 50743003299 53727885846 67657337732 80591828769 101486006598 107455771692 152229009897 161183657538 202972013196 287543685361 304458019794 322367315076 456687029691 575087370722 608916039588 862631056083 913374059382 1150174741444 1370061089073 1725262112166 1826748118764 2587893168249 2740122178146 3450524224332 5175786336498 5480244356292 7763679504747 10351572672996 15527359009494 23291038514241 31054718018988 46582077028482 93164154056964