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112597019972316 = 2232112333752796949
BaseRepresentation
bin11001100110100000001001…
…011000001101001011011100
3112202200011120220210121002200
4121212200021120031023130
5104224242144103103231
61035250205030451500
732500603056202365
oct3146401130151334
9482604526717080
10112597019972316
1132971145415680
1210766082203b90
134aa9b12c82429
141db3a20d8ab6c
15d03d90b11be6
hex66680960d2dc

112597019972316 has 288 divisors, whose sum is σ = 325064323584000. Its totient is φ = 32529126389760.

The previous prime is 112597019972209. The next prime is 112597019972389. The reversal of 112597019972316 is 613279910795211.

112597019972316 is a `hidden beast` number, since 1 + 1 + 2 + 597 + 0 + 1 + 9 + 9 + 7 + 2 + 31 + 6 = 666.

It is a super-2 number, since 2×1125970199723162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16203338010 + ... + 16203344958.

It is an arithmetic number, because the mean of its divisors is an integer number (1128695568000).

Almost surely, 2112597019972316 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 112597019972316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162532161792000).

112597019972316 is an abundant number, since it is smaller than the sum of its proper divisors (212467303611684).

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

112597019972316 is a wasteful number, since it uses less digits than its factorization.

112597019972316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12609 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 63.

The spelling of 112597019972316 in words is "one hundred twelve trillion, five hundred ninety-seven billion, nineteen million, nine hundred seventy-two thousand, three hundred sixteen".