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117822416973696 = 273519119999661
BaseRepresentation
bin11010110010100010101011…
…010011110110111110000000
3120110011201020211010202100000
4122302202223103312332000
5110420400302221124241
61054330512055200000
733550250220645411
oct3262425323667600
9513151224122300
10117822416973696
11345a622a837376
121126a935076000
1350987b5c00816
1421148c77c1808
15d94c71249eb6
hex6b28ab4f6f80

117822416973696 has 384 divisors, whose sum is σ = 355224070656000. Its totient is φ = 38871800985600.

The previous prime is 117822416973643. The next prime is 117822416973731. The reversal of 117822416973696 is 696379614228711.

117822416973696 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 2 + 2 + 416 + 97 + 36 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1182182106 + ... + 1182281766.

It is an arithmetic number, because the mean of its divisors is an integer number (925062684000).

Almost surely, 2117822416973696 is an apocalyptic number.

117822416973696 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 117822416973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177612035328000).

117822416973696 is an abundant number, since it is smaller than the sum of its proper divisors (237401653682304).

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

117822416973696 is an equidigital number, since it uses as much as digits as its factorization.

117822416973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100080 (or 100056 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 117822416973696 in words is "one hundred seventeen trillion, eight hundred twenty-two billion, four hundred sixteen million, nine hundred seventy-three thousand, six hundred ninety-six".