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113897833176960 = 2732572537614143
BaseRepresentation
bin11001111001011011100111…
…111000110001111110000000
3112221021112012211100010101100
4121321123213320301332000
5104412100230243130320
61042123535304134400
732663563325045100
oct3171334770617600
9487245184303340
10113897833176960
1133322888577518
12109361b5a67400
134b7269a6a3b41
14201a98253b200
15d27b2611b790
hex6796e7e31f80

113897833176960 has 576 divisors, whose sum is σ = 466148707764480. Its totient is φ = 25542583492608.

The previous prime is 113897833176949. The next prime is 113897833176989. The reversal of 113897833176960 is 69671338798311.

It is a happy number.

113897833176960 is a `hidden beast` number, since 1 + 1 + 38 + 97 + 83 + 317 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1138978331769602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11151649 + ... + 18765791.

It is an arithmetic number, because the mean of its divisors is an integer number (809285950980).

Almost surely, 2113897833176960 is an apocalyptic number.

113897833176960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113897833176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233074353882240).

113897833176960 is an abundant number, since it is smaller than the sum of its proper divisors (352250874587520).

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

113897833176960 is a wasteful number, since it uses less digits than its factorization.

113897833176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614235 (or 7614213 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 113897833176960 in words is "one hundred thirteen trillion, eight hundred ninety-seven billion, eight hundred thirty-three million, one hundred seventy-six thousand, nine hundred sixty".