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117377303109696 = 26327241101433569
BaseRepresentation
bin11010101100000100001000…
…011101001110000001000000
3120101121011100001212122020100
4122230010020131032001000
5110341102204044002241
61053350215540242400
733503141664352200
oct3254041035160100
9511534301778210
10117377303109696
1134444486649253
12111b86113a0400
13506582abc52c6
1420db13dbd0400
15d883bde209b6
hex6ac10874e040

117377303109696 has 252 divisors, whose sum is σ = 400915576823580. Its totient is φ = 32718411694080.

The previous prime is 117377303109673. The next prime is 117377303109697. The reversal of 117377303109696 is 696901303773711.

117377303109696 is a `hidden beast` number, since 1 + 1 + 73 + 77 + 303 + 109 + 6 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52490025000000 + 64887278109696 = 7245000^2 + 8055264^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (117377303109697) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49559601 + ... + 51873968.

It is an arithmetic number, because the mean of its divisors is an integer number (1590934828665).

Almost surely, 2117377303109696 is an apocalyptic number.

117377303109696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

117377303109696 is an abundant number, since it is smaller than the sum of its proper divisors (283538273713884).

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

117377303109696 is a wasteful number, since it uses less digits than its factorization.

117377303109696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101433642 (or 101433622 counting only the distinct ones).

The product of its (nonzero) digits is 27005076, while the sum is 63.

The spelling of 117377303109696 in words is "one hundred seventeen trillion, three hundred seventy-seven billion, three hundred three million, one hundred nine thousand, six hundred ninety-six".