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117413288640 = 2633531279179
BaseRepresentation
bin110110101011001100…
…0001001101011000000
3102020001201211001121000
41231112120021223000
53410430300214030
6125534450132000
711324416325604
oct1552630115300
9366051731530
10117413288640
114588181663a
121a909581000
13b0c2317b2b
14597b9a3504
1530c2d4c860
hex1b56609ac0

117413288640 has 672 divisors, whose sum is σ = 435839616000. Its totient is φ = 29749524480.

The previous prime is 117413288599. The next prime is 117413288651. The reversal of 117413288640 is 46882314711.

117413288640 is a `hidden beast` number, since 117 + 413 + 2 + 8 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 655940071 + ... + 655940249.

Almost surely, 2117413288640 is an apocalyptic number.

117413288640 is a gapful number since it is divisible by the number (10) 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 117413288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217919808000).

117413288640 is an abundant number, since it is smaller than the sum of its proper divisors (318426327360).

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

117413288640 is a wasteful number, since it uses less digits than its factorization.

117413288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 117413288640 in words is "one hundred seventeen billion, four hundred thirteen million, two hundred eighty-eight thousand, six hundred forty".