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116240970816 = 2632316919421
BaseRepresentation
bin110110001000010000…
…0000111010001000000
3102010001000220010212100
41230100200013101000
53401030142031231
6125222251230400
711253362643435
oct1542040072100
9363030803770
10116240970816
114532aaa7933
121a640a48400
13ac66496649
1458a9ddbb8c
153054e7e1e6
hex1b10807440

116240970816 has 168 divisors, whose sum is σ = 344465907968. Its totient is φ = 37438848000.

The previous prime is 116240970757. The next prime is 116240970817. The reversal of 116240970816 is 618079042611.

116240970816 is a `hidden beast` number, since 1 + 1 + 624 + 0 + 9 + 7 + 0 + 8 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (116240970817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12333786 + ... + 12343206.

Almost surely, 2116240970816 is an apocalyptic number.

116240970816 is a gapful number since it is divisible by the number (16) 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 116240970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172232953984).

116240970816 is an abundant number, since it is smaller than the sum of its proper divisors (228224937152).

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

116240970816 is a wasteful number, since it uses less digits than its factorization.

116240970816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161 (or 10148 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 116240970816 in words is "one hundred sixteen billion, two hundred forty million, nine hundred seventy thousand, eight hundred sixteen".