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116417793024 = 2103513172973
BaseRepresentation
bin110110001101100001…
…0101000110000000000
3102010111100121122100000
41230123002220300000
53401410423334044
6125252005200000
711260640625201
oct1543302506000
9363440548300
10116417793024
1145410899a95
121a690100000
13ac93cc6c80
1458c56a95a8
15306575ad69
hex1b1b0a8c00

116417793024 has 1056 divisors, whose sum is σ = 416843219520. Its totient is φ = 32105299968.

The previous prime is 116417793017. The next prime is 116417793029. The reversal of 116417793024 is 420397714611.

It is a happy number.

116417793024 is a `hidden beast` number, since 116 + 417 + 79 + 30 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (116417793029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1594764252 + ... + 1594764324.

Almost surely, 2116417793024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116417793024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208421609760).

116417793024 is an abundant number, since it is smaller than the sum of its proper divisors (300425426496).

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

116417793024 is a wasteful number, since it uses less digits than its factorization.

116417793024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 116417793024 in words is "one hundred sixteen billion, four hundred seventeen million, seven hundred ninety-three thousand, twenty-four".