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117893881600 = 2852112152239
BaseRepresentation
bin110110111001100000…
…1011101111100000000
3102021022020010201012021
41231303001131330000
53412421313202400
6130054255011224
711342343313345
oct1556301357400
9367266121167
10117893881600
1145aa9028200
121aa22509b14
13b16aa66671
1459c57467cc
15310013071a
hex1b7305df00

117893881600 has 162 divisors, whose sum is σ = 320747300720. Its totient is φ = 42870220800.

The previous prime is 117893881583. The next prime is 117893881601. The reversal of 117893881600 is 6188398711.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117893881601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 698281 + ... + 850519.

Almost surely, 2117893881600 is an apocalyptic number.

117893881600 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 117893881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160373650360).

117893881600 is an abundant number, since it is smaller than the sum of its proper divisors (202853419120).

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

117893881600 is a wasteful number, since it uses less digits than its factorization.

117893881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152287 (or 152257 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 52.

The spelling of 117893881600 in words is "one hundred seventeen billion, eight hundred ninety-three million, eight hundred eighty-one thousand, six hundred".