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117731630016 = 2632711132113139
BaseRepresentation
bin110110110100101011…
…0100001101111000000
3102020212220211110212100
41231221112201233000
53412103244130031
6130030221230400
711335333225560
oct1555126415700
9366786743770
10117731630016
1145a25488190
121a998102400
13b143268100
1459abd8cda0
1530e0c80de6
hex1b695a1bc0

117731630016 has 1008 divisors, whose sum is σ = 462916097280. Its totient is φ = 27776286720.

The previous prime is 117731629999. The next prime is 117731630047. The reversal of 117731630016 is 610036137711.

It is a happy number.

117731630016 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 3 + 1 + 630 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 846990075 + ... + 846990213.

It is an arithmetic number, because the mean of its divisors is an integer number (459242160).

Almost surely, 2117731630016 is an apocalyptic number.

117731630016 is a gapful number since it is divisible by the number (16) 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 117731630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231458048640).

117731630016 is an abundant number, since it is smaller than the sum of its proper divisors (345184467264).

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

117731630016 is a wasteful number, since it uses less digits than its factorization.

117731630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Adding to 117731630016 its reverse (610036137711), we get a palindrome (727767767727).

It can be divided in two parts, 117731 and 630016, that added together give a palindrome (747747).

The spelling of 117731630016 in words is "one hundred seventeen billion, seven hundred thirty-one million, six hundred thirty thousand, sixteen".