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116925659136 = 2113511133153
BaseRepresentation
bin110110011100101001…
…1111111100000000000
3102011210202020220200000
41230321103333200000
53403430432043021
6125414230400000
711306345463336
oct1547123774000
9364722226600
10116925659136
1145651539350
121a7b2200000
13b0452a4570
145932d0bb56
153095129b26
hex1b394ff800

116925659136 has 1152 divisors, whose sum is σ = 432721336320. Its totient is φ = 31054233600.

The previous prime is 116925659131. The next prime is 116925659143. The reversal of 116925659136 is 631956529611.

116925659136 is a `hidden beast` number, since 1 + 1 + 69 + 2 + 565 + 9 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116925659131) 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, 2206144486 + ... + 2206144538.

It is an arithmetic number, because the mean of its divisors is an integer number (375626160).

Almost surely, 2116925659136 is an apocalyptic number.

116925659136 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 116925659136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216360668160).

116925659136 is an abundant number, since it is smaller than the sum of its proper divisors (315795677184).

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

116925659136 is a wasteful number, since it uses less digits than its factorization.

116925659136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The spelling of 116925659136 in words is "one hundred sixteen billion, nine hundred twenty-five million, six hundred fifty-nine thousand, one hundred thirty-six".