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117757641504 = 2531577813007
BaseRepresentation
bin110110110101011100…
…1110000001100100000
3102020221201202222220210
41231222321300030200
53412131424012004
6130032550534120
711336100303036
oct1555271601440
9366851688823
10117757641504
1145a39133a88
121a9a4967340
13b148774819
1459b1600556
1530e31bd089
hex1b6ae70320

117757641504 has 48 divisors (see below), whose sum is σ = 311082726528. Its totient is φ = 39002525952.

The previous prime is 117757641487. The next prime is 117757641509. The reversal of 117757641504 is 405146757711.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (117757641509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3891432 + ... + 3921575.

It is an arithmetic number, because the mean of its divisors is an integer number (6480890136).

Almost surely, 2117757641504 is an apocalyptic number.

It is an amenable number.

117757641504 is an abundant number, since it is smaller than the sum of its proper divisors (193325085024).

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

117757641504 is a wasteful number, since it uses less digits than its factorization.

117757641504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7813177 (or 7813169 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The spelling of 117757641504 in words is "one hundred seventeen billion, seven hundred fifty-seven million, six hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 5024 7536 15072 7813007 15626014 23439021 31252028 46878042 62504056 93756084 125008112 187512168 250016224 375024336 750048672 1226642099 2453284198 3679926297 4906568396 7359852594 9813136792 14719705188 19626273584 29439410376 39252547168 58878820752 117757641504