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117837502464 = 21131117102563
BaseRepresentation
bin110110110111110101…
…0011001100000000000
3102021011022001100120010
41231233222121200000
53412312400034324
6130044522344520
711341060146603
oct1555752314000
9367138040503
10117837502464
1145a7a21a780
121aa0765b140
13b15c186826
1459bc06c33a
1530ea1e5829
hex1b6fa99800

117837502464 has 192 divisors, whose sum is σ = 362879637120. Its totient is φ = 33607516160.

The previous prime is 117837502463. The next prime is 117837502487. The reversal of 117837502464 is 464205738711.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117837502463) 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 15 ways as a sum of consecutive naturals, for example, 1097647 + ... + 1200209.

It is an arithmetic number, because the mean of its divisors is an integer number (1889998110).

Almost surely, 2117837502464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117837502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181439818560).

117837502464 is an abundant number, since it is smaller than the sum of its proper divisors (245042134656).

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

117837502464 is a wasteful number, since it uses less digits than its factorization.

117837502464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102616 (or 102596 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 117837502464 in words is "one hundred seventeen billion, eight hundred thirty-seven million, five hundred two thousand, four hundred sixty-four".