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117376981920 = 2532511231991619
BaseRepresentation
bin110110101010000110…
…1101001101110100000
3102012222012111111010200
41231110031221232200
53410342001410140
6125531112025200
711323465612242
oct1552415515640
9365865444120
10117376981920
1145863278890
121a8b9392200
13b0b7945373
145976c32092
1530bea7a030
hex1b54369ba0

117376981920 has 576 divisors, whose sum is σ = 458535168000. Its totient is φ = 27064350720.

The previous prime is 117376981919. The next prime is 117376981921. The reversal of 117376981920 is 29189673711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117376981919) and next prime (117376981921).

It is a super-3 number, since 3×1173769819203 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (117376981921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72498871 + ... + 72500489.

It is an arithmetic number, because the mean of its divisors is an integer number (796068000).

Almost surely, 2117376981920 is an apocalyptic number.

117376981920 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 117376981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229267584000).

117376981920 is an abundant number, since it is smaller than the sum of its proper divisors (341158186080).

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

117376981920 is a wasteful number, since it uses less digits than its factorization.

117376981920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 117376981920 in words is "one hundred seventeen billion, three hundred seventy-six million, nine hundred eighty-one thousand, nine hundred twenty".