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117426285504 = 263211193741643
BaseRepresentation
bin110110101011100100…
…1101110101111000000
3102020002122021100221100
41231113021232233000
53410442112114004
6125540032454400
711324634646413
oct1552711565700
9366078240840
10117426285504
1145889093350
121a9119aa400
13b0c4c18798
14597d5c7b7a
1530c4068739
hex1b5726ebc0

117426285504 has 672 divisors, whose sum is σ = 407264981760. Its totient is φ = 31950028800.

The previous prime is 117426285499. The next prime is 117426285521. The reversal of 117426285504 is 405582624711.

117426285504 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 2 + 62 + 85 + 504 = 666.

It is a super-4 number, since 4×1174262855044 (a number of 45 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 117426285504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182622207 + ... + 182622849.

It is an arithmetic number, because the mean of its divisors is an integer number (606049080).

Almost surely, 2117426285504 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 117426285504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203632490880).

117426285504 is an abundant number, since it is smaller than the sum of its proper divisors (289838696256).

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

117426285504 is a wasteful number, since it uses less digits than its factorization.

117426285504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 117426285504 in words is "one hundred seventeen billion, four hundred twenty-six million, two hundred eighty-five thousand, five hundred four".