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116653186944 = 27327113313409
BaseRepresentation
bin110110010100100010…
…0100101111110000000
3102011002202112220002100
41230221010211332000
53402401203440234
6125331214350400
711266526504640
oct1545104457600
9364082486070
10116653186944
1145521756a18
121a736abb400
13b0009c4408
145908a62520
15307b257399
hex1b29125f80

116653186944 has 384 divisors, whose sum is σ = 389217067200. Its totient is φ = 32848478208.

The previous prime is 116653186919. The next prime is 116653186967. The reversal of 116653186944 is 449681356611.

116653186944 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 531 + 8 + 69 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285215412 + ... + 285215820.

Almost surely, 2116653186944 is an apocalyptic number.

116653186944 is a gapful number since it is divisible by the number (14) 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 116653186944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194608533600).

116653186944 is an abundant number, since it is smaller than the sum of its proper divisors (272563880256).

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

116653186944 is a wasteful number, since it uses less digits than its factorization.

116653186944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 847 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 116653186944 in words is "one hundred sixteen billion, six hundred fifty-three million, one hundred eighty-six thousand, nine hundred forty-four".