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117362056896 = 2633753183067
BaseRepresentation
bin110110101001101010…
…0101101111011000000
3102012221011102012212000
41231103110231323000
53410324141310041
6125525420104000
711323225011120
oct1552324557300
9365834365760
10117362056896
1145855904457
121a8b4395000
13b0b481aba6
145974c68c80
1530bd5ccbb6
hex1b5352dec0

117362056896 has 224 divisors, whose sum is σ = 401753710080. Its totient is φ = 32899156992.

The previous prime is 117362056883. The next prime is 117362056943. The reversal of 117362056896 is 698650263711.

117362056896 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 620 + 5 + 6 + 8 + 9 + 6 = 666.

117362056896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549555 + ... + 732621.

Almost surely, 2117362056896 is an apocalyptic number.

117362056896 is a gapful number since it is divisible by the number (16) 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 117362056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200876855040).

117362056896 is an abundant number, since it is smaller than the sum of its proper divisors (284391653184).

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

117362056896 is a wasteful number, since it uses less digits than its factorization.

117362056896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183148 (or 183132 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 117362056896 in words is "one hundred seventeen billion, three hundred sixty-two million, fifty-six thousand, eight hundred ninety-six".