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117316442880 = 283357213732
BaseRepresentation
bin110110101000010011…
…0101101101100000000
3102012210222120210012000
41231100212231230000
53410231002133010
6125521110304000
711322132211500
oct1552046555400
9365728523160
10117316442880
1145832089a1a
121a8a1058000
13b0a8239c50
14596cb93a00
1530b95bc7c0
hex1b509adb00

117316442880 has 1296 divisors, whose sum is σ = 528773888160. Its totient is φ = 24413405184.

The previous prime is 117316442851. The next prime is 117316442899. The reversal of 117316442880 is 88244613711.

117316442880 is a `hidden beast` number, since 1 + 17 + 316 + 44 + 288 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1607074524 + ... + 1607074596.

Almost surely, 2117316442880 is an apocalyptic number.

117316442880 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 117316442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264386944080).

117316442880 is an abundant number, since it is smaller than the sum of its proper divisors (411457445280).

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

117316442880 is an equidigital number, since it uses as much as digits as its factorization.

117316442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 117316442880 in words is "one hundred seventeen billion, three hundred sixteen million, four hundred forty-two thousand, eight hundred eighty".