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112419932808 = 233174726322291
BaseRepresentation
bin110100010110011000…
…0000000101010001000
3101202011201221022010010
41220230300000222020
53320214000322213
6123351153151520
711056604443101
oct1505460005210
9352151838103
10112419932808
114374a137487
121995525b5a0
13a7a7974501
1456267513a8
152dce7a9ac3
hex1a2cc00a88

112419932808 has 128 divisors (see below), whose sum is σ = 305082961920. Its totient is φ = 34385802240.

The previous prime is 112419932797. The next prime is 112419932809. The reversal of 112419932808 is 808239914211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112419932809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5032143 + ... + 5054433.

It is an arithmetic number, because the mean of its divisors is an integer number (2383460640).

Almost surely, 2112419932808 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 112419932808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152541480960).

112419932808 is an abundant number, since it is smaller than the sum of its proper divisors (192663029112).

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

112419932808 is a wasteful number, since it uses less digits than its factorization.

112419932808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22627 (or 22623 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 112419932808 in words is "one hundred twelve billion, four hundred nineteen million, nine hundred thirty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 263 282 376 408 526 564 789 799 1052 1128 1578 1598 2104 2397 3156 3196 4471 4794 6312 6392 8942 9588 12361 13413 17884 19176 22291 24722 26826 35768 37083 44582 49444 53652 66873 74166 89164 98888 107304 133746 148332 178328 210137 267492 296664 378947 420274 534984 630411 757894 840548 1047677 1136841 1260822 1515788 1681096 2095354 2273682 2521644 3031576 3143031 4190708 4547364 5043288 5862533 6286062 8381416 9094728 11725066 12572124 17587599 17810509 23450132 25144248 35175198 35621018 46900264 53431527 70350396 71242036 99663061 106863054 140700792 142484072 199326122 213726108 275539051 298989183 398652244 427452216 551078102 597978366 797304488 826617153 1102156204 1195956732 1653234306 2204312408 2391913464 3306468612 4684163867 6612937224 9368327734 14052491601 18736655468 28104983202 37473310936 56209966404 112419932808