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117258941520 = 24335712776073
BaseRepresentation
bin110110100110100101…
…1010111010001010000
3102012122222101102011000
41231031023113101100
53410121242112040
6125511254022000
711320533362160
oct1551513272120
9365588342130
10117258941520
1145802685336
121a885947900
13b099356386
1459652a65a0
1530b4510130
hex1b4d2d7450

117258941520 has 320 divisors, whose sum is σ = 462028285440. Its totient is φ = 26776645632.

The previous prime is 117258941489. The next prime is 117258941537. The reversal of 117258941520 is 25149852711.

117258941520 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 5 + 89 + 41 + 520 = 666.

117258941520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19305204 + ... + 19311276.

It is an arithmetic number, because the mean of its divisors is an integer number (1443838392).

Almost surely, 2117258941520 is an apocalyptic number.

117258941520 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 117258941520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231014142720).

117258941520 is an abundant number, since it is smaller than the sum of its proper divisors (344769343920).

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

117258941520 is a wasteful number, since it uses less digits than its factorization.

117258941520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7379 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 117258941520 in words is "one hundred seventeen billion, two hundred fifty-eight million, nine hundred forty-one thousand, five hundred twenty".