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117907332480 = 2735571723277
BaseRepresentation
bin110110111001111010…
…0110001110110000000
3102021100011110002100000
41231303310301312000
53412433234114410
6130055455200000
711342565534630
oct1556364616600
9367304402300
10117907332480
1146005685033
121aa26b16000
13b170795b72
1459c74486c0
1531013dadc0
hex1b73d31d80

117907332480 has 1536 divisors, whose sum is σ = 535070914560. Its totient is φ = 24174526464.

The previous prime is 117907332467. The next prime is 117907332563. The reversal of 117907332480 is 84233709711.

117907332480 is a `hidden beast` number, since 1 + 1 + 79 + 0 + 73 + 32 + 480 = 666.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 425658102 + ... + 425658378.

It is an arithmetic number, because the mean of its divisors is an integer number (348353460).

Almost surely, 2117907332480 is an apocalyptic number.

117907332480 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 117907332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267535457280).

117907332480 is an abundant number, since it is smaller than the sum of its proper divisors (417163582080).

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

117907332480 is a wasteful number, since it uses less digits than its factorization.

117907332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 117907332480 in words is "one hundred seventeen billion, nine hundred seven million, three hundred thirty-two thousand, four hundred eighty".