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117697674418632 = 2335711839473333
BaseRepresentation
bin11010110000101110100000…
…000100110001100111001000
3120102201210021022000101100000
4122300232200010301213020
5110411324314122344012
61054153322025243000
733535243043506020
oct3260564004614710
9512653238011300
10117697674418632
1134558337923460
121124a721033460
135089ac6305b69
14210c852670a80
15d918bec42ddc
hex6b0ba01319c8

117697674418632 has 384 divisors, whose sum is σ = 417105590952960. Its totient is φ = 30202498149120.

The previous prime is 117697674418589. The next prime is 117697674418651. The reversal of 117697674418632 is 236814476796711.

117697674418632 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 9 + 76 + 7 + 441 + 86 + 32 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7687438 + ... + 17160770.

It is an arithmetic number, because the mean of its divisors is an integer number (1086212476440).

Almost surely, 2117697674418632 is an apocalyptic number.

117697674418632 is a gapful number since it is divisible by the number (12) 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 117697674418632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208552795476480).

117697674418632 is an abundant number, since it is smaller than the sum of its proper divisors (299407916534328).

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

117697674418632 is a wasteful number, since it uses less digits than its factorization.

117697674418632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9473455 (or 9473439 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 117697674418632 in words is "one hundred seventeen trillion, six hundred ninety-seven billion, six hundred seventy-four million, four hundred eighteen thousand, six hundred thirty-two".