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112374198216 = 233272311027487
BaseRepresentation
bin110100010101000000…
…1100010111111001000
3101202001112212202001100
41220222001202333020
53320120243320331
6123342441021400
711055510632100
oct1505201427710
9352045782040
10112374198216
114372633a3a5
1219941a84860
13a79b350717
145620648200
152dca773ae6
hex1a2a062fc8

112374198216 has 144 divisors (see below), whose sum is σ = 365456931840. Its totient is φ = 31071176640.

The previous prime is 112374198187. The next prime is 112374198227. The reversal of 112374198216 is 612891473211.

112374198216 is a `hidden beast` number, since 1 + 12 + 3 + 7 + 419 + 8 + 216 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 404376 + ... + 623111.

It is an arithmetic number, because the mean of its divisors is an integer number (2537895360).

Almost surely, 2112374198216 is an apocalyptic number.

It is an amenable number.

112374198216 is an abundant number, since it is smaller than the sum of its proper divisors (253082733624).

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

112374198216 is a wasteful number, since it uses less digits than its factorization.

112374198216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027544 (or 1027530 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 112374198216 in words is "one hundred twelve billion, three hundred seventy-four million, one hundred ninety-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1116 1176 1302 1519 1736 1764 1953 2232 2604 3038 3528 3906 4557 5208 6076 7812 9114 12152 13671 15624 18228 27342 36456 54684 109368 1027487 2054974 3082461 4109948 6164922 7192409 8219896 9247383 12329844 14384818 18494766 21577227 24659688 28769636 31852097 36989532 43154454 50346863 57539272 63704194 64731681 73979064 86308908 95556291 100693726 127408388 129463362 151040589 172617816 191112582 201387452 222964679 254816776 258926724 286668873 302081178 382225164 402774904 445929358 453121767 517853448 573337746 604162356 668894037 764450328 891858716 906243534 1146675492 1208324712 1337788074 1560752753 1783717432 1812487068 2006682111 2293350984 2675576148 3121505506 3624974136 4013364222 4682258259 5351152296 6243011012 8026728444 9364516518 12486022024 14046774777 16053456888 18729033036 28093549554 37458066072 56187099108 112374198216