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112815922472 = 231143476110399
BaseRepresentation
bin110100100010001011…
…0100101110100101000
3101210012100001122210222
41221010112211310220
53322021334004342
6123454340425212
711102453342651
oct1510426456450
9353170048728
10112815922472
1143932713370
1219a459a8208
13a83ba10616
145663190528
152e04429ed2
hex1a445a5d28

112815922472 has 128 divisors (see below), whose sum is σ = 245127168000. Its totient is φ = 48213446400.

The previous prime is 112815922469. The next prime is 112815922481. The reversal of 112815922472 is 274229518211.

112815922472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10843529 + ... + 10853927.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056000).

Almost surely, 2112815922472 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 112815922472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122563584000).

112815922472 is an abundant number, since it is smaller than the sum of its proper divisors (132311245528).

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

112815922472 is a wasteful number, since it uses less digits than its factorization.

112815922472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10567 (or 10563 counting only the distinct ones).

The product of its digits is 161280, while the sum is 44.

The spelling of 112815922472 in words is "one hundred twelve billion, eight hundred fifteen million, nine hundred twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 22 43 44 47 61 86 88 94 122 172 188 244 344 376 473 488 517 671 946 1034 1342 1892 2021 2068 2623 2684 2867 3784 4042 4136 5246 5368 5734 8084 10399 10492 11468 16168 20798 20984 22231 22936 28853 31537 41596 44462 57706 63074 83192 88924 114389 115412 123281 126148 177848 228778 230824 246562 252296 447157 457556 488753 493124 634339 894314 915112 977506 986248 1268678 1356091 1788628 1955012 2537356 2712182 3577256 3910024 4918727 5074712 5376283 5424364 6977729 9837454 10752566 10848728 13955458 19674908 21016379 21505132 27276577 27910916 29813933 39349816 42032758 43010264 54553154 55821832 59627866 84065516 109106308 119255732 168131032 218212616 231180169 238511464 300042347 327953263 462360338 600084694 655906526 924720676 1200169388 1281999119 1311813052 1849441352 2400338776 2563998238 2623626104 5127996476 10255992952 14101990309 28203980618 56407961236 112815922472