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117061036344 = 233271956321713
BaseRepresentation
bin110110100000101100…
…0011010100100111000
3102012011011222210021200
41231001120122210320
53404220111130334
6125435504134200
711312611251150
oct1550130324470
9365134883250
10117061036344
11457109a323a
121a82b607360
13b067353715
145946cab760
1530a1e6b799
hex1b4161a938

117061036344 has 192 divisors, whose sum is σ = 382096915200. Its totient is φ = 31627957248.

The previous prime is 117061036333. The next prime is 117061036357. The reversal of 117061036344 is 443630160711.

117061036344 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 6 + 10 + 3 + 634 + 4 = 666.

117061036344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 117061036299 and 117061036308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5380432 + ... + 5402144.

It is an arithmetic number, because the mean of its divisors is an integer number (1990088100).

Almost surely, 2117061036344 is an apocalyptic number.

117061036344 is a gapful number since it is divisible by the number (14) 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 117061036344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191048457600).

117061036344 is an abundant number, since it is smaller than the sum of its proper divisors (265035878856).

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

117061036344 is a wasteful number, since it uses less digits than its factorization.

117061036344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22314 (or 22307 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 117061036344 in words is "one hundred seventeen billion, sixty-one million, thirty-six thousand, three hundred forty-four".