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117372917376 = 27331113218269
BaseRepresentation
bin110110101001111111…
…0001001011010000000
3102012221220211222122000
41231103332021122000
53410334431324001
6125530444544000
711323416223251
oct1552376113200
9365856758560
10117372917376
1145860a52060
121a8b7b52000
13b0b6b51300
145976494b28
1530be525a86
hex1b53f89680

117372917376 has 384 divisors, whose sum is σ = 409233384000. Its totient is φ = 32829788160.

The previous prime is 117372917327. The next prime is 117372917377. The reversal of 117372917376 is 673719273711.

It is a happy number.

117372917376 is a `hidden beast` number, since 117 + 3 + 72 + 91 + 7 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (117372917377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6415570 + ... + 6433838.

Almost surely, 2117372917376 is an apocalyptic number.

117372917376 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 117372917376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204616692000).

117372917376 is an abundant number, since it is smaller than the sum of its proper divisors (291860466624).

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

117372917376 is a wasteful number, since it uses less digits than its factorization.

117372917376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18329 (or 18298 counting only the distinct ones).

The product of its digits is 2333772, while the sum is 54.

The spelling of 117372917376 in words is "one hundred seventeen billion, three hundred seventy-two million, nine hundred seventeen thousand, three hundred seventy-six".