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116804975040 = 263251329179601
BaseRepresentation
bin110110011001000011…
…1100111100111000000
3102011111100011112012200
41230302013213213000
53403204033200130
6125354235553200
711303351622555
oct1546207474700
9364440145180
10116804975040
114559a3aa626
121a7798bb800
13b02629b160
145920c94a2c
15308973b760
hex1b321e79c0

116804975040 has 672 divisors, whose sum is σ = 450833947200. Its totient is φ = 27559526400.

The previous prime is 116804974999. The next prime is 116804975041. The reversal of 116804975040 is 40579408611.

116804975040 is a `hidden beast` number, since 11 + 68 + 0 + 497 + 50 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116804975041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194350740 + ... + 194351340.

It is an arithmetic number, because the mean of its divisors is an integer number (670883850).

Almost surely, 2116804975040 is an apocalyptic number.

116804975040 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 116804975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225416973600).

116804975040 is an abundant number, since it is smaller than the sum of its proper divisors (334028972160).

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

116804975040 is a wasteful number, since it uses less digits than its factorization.

116804975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 116804975040 in words is "one hundred sixteen billion, eight hundred four million, nine hundred seventy-five thousand, forty".