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117348241920 = 2935721317283
BaseRepresentation
bin110110101001010000…
…0000001001000000000
3102012220012102100021020
41231102200001020000
53410312122220140
6125524204025440
711322666412200
oct1552240011000
9365805370236
10117348241920
1145849029018
121a8ab832280
13b0b19c1a50
1459730b0400
1530bc29e6d0
hex1b52801200

117348241920 has 1440 divisors, whose sum is σ = 505251286848. Its totient is φ = 23022010368.

The previous prime is 117348241909. The next prime is 117348241939. The reversal of 117348241920 is 29142843711.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1413834199 + ... + 1413834281.

Almost surely, 2117348241920 is an apocalyptic number.

117348241920 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 117348241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252625643424).

117348241920 is an abundant number, since it is smaller than the sum of its proper divisors (387903044928).

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

117348241920 is a wasteful number, since it uses less digits than its factorization.

117348241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 117348241920 in words is "one hundred seventeen billion, three hundred forty-eight million, two hundred forty-one thousand, nine hundred twenty".