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116793864 = 233211316771
BaseRepresentation
bin1101111011000…
…10001000001000
322010202202001200
412331202020020
5214344400424
615331144200
72615505615
oct675421010
9263682050
10116793864
115aa21a60
1233145060
131b2737c5
141172350c
15a3c08c9
hex6f62208

116793864 has 192 divisors, whose sum is σ = 366612480. Its totient is φ = 33264000.

The previous prime is 116793851. The next prime is 116793869. The reversal of 116793864 is 468397611.

It is a happy number.

Its product of digits (217728) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (116793869) 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 47 ways as a sum of consecutive naturals, for example, 1644949 + ... + 1645019.

It is an arithmetic number, because the mean of its divisors is an integer number (1909440).

Almost surely, 2116793864 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 116793864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183306240).

116793864 is an abundant number, since it is smaller than the sum of its proper divisors (249818616).

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

116793864 is a wasteful number, since it uses less digits than its factorization.

116793864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 116793864 is about 10807.1209857205. The cubic root of 116793864 is about 488.8099177157.

The spelling of 116793864 in words is "one hundred sixteen million, seven hundred ninety-three thousand, eight hundred sixty-four".