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112053965364 = 2232113114961261
BaseRepresentation
bin110100001011011101…
…1111101001000110100
3101201020020022020011100
41220112323331020310
53313441303342424
6123251001210100
711044541663445
oct1502673751064
9351206266140
10112053965364
11435815a6750
1219872790930
13a749bba523
1455cdcc92cc
152dac5b9dc9
hex1a16efd234

112053965364 has 144 divisors (see below), whose sum is σ = 321110899200. Its totient is φ = 32639328000.

The previous prime is 112053965363. The next prime is 112053965377. The reversal of 112053965364 is 463569350211.

112053965364 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 539 + 6 + 53 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112053965363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1798494 + ... + 1859754.

It is an arithmetic number, because the mean of its divisors is an integer number (2229936800).

Almost surely, 2112053965364 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 112053965364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160555449600).

112053965364 is an abundant number, since it is smaller than the sum of its proper divisors (209056933836).

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

112053965364 is a wasteful number, since it uses less digits than its factorization.

112053965364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61462 (or 61457 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 112053965364 in words is "one hundred twelve billion, fifty-three million, nine hundred sixty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 149 186 198 279 298 341 372 396 447 558 596 682 894 1023 1116 1341 1364 1639 1788 2046 2682 3069 3278 4092 4619 4917 5364 6138 6556 9238 9834 12276 13857 14751 18476 19668 27714 29502 41571 50809 55428 59004 61261 83142 101618 122522 152427 166284 183783 203236 245044 304854 367566 457281 551349 609708 673871 735132 914562 1102698 1347742 1829124 1899091 2021613 2205396 2695484 3798182 4043226 5697273 6064839 7596364 8086452 9127889 11394546 12129678 17091819 18255778 20890001 22789092 24259356 27383667 34183638 36511556 41780002 54767334 62670003 68367276 82151001 83560004 100406779 109534668 125340006 164302002 188010009 200813558 250680012 282964559 301220337 328604004 376020018 401627116 565929118 602440674 752040036 848893677 903661011 1131858236 1204881348 1697787354 1807322022 2546681031 3112610149 3395574708 3614644044 5093362062 6225220298 9337830447 10186724124 12450440596 18675660894 28013491341 37351321788 56026982682 112053965364