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116565210432 = 26371175709
BaseRepresentation
bin110110010001111010…
…0111111010101000000
3102010212122000020000000
41230203310333111000
53402211143213212
6125314353000000
711264410640436
oct1544364772500
9363778006000
10116565210432
1145487027960
121a711553000
13acb87004c8
1458db0c0d56
15307367a1dc
hex1b23d3f540

116565210432 has 224 divisors, whose sum is σ = 378453091200. Its totient is φ = 35322324480.

The previous prime is 116565210431. The next prime is 116565210439. The reversal of 116565210432 is 234012565611.

116565210432 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 6 + 5 + 210 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116565210431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1501794 + ... + 1577502.

Almost surely, 2116565210432 is an apocalyptic number.

116565210432 is a gapful number since it is divisible by the number (12) 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 116565210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189226545600).

116565210432 is an abundant number, since it is smaller than the sum of its proper divisors (261887880768).

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

116565210432 is an frugal number, since it uses more digits than its factorization.

116565210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75753 (or 75725 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 116565210432 in words is "one hundred sixteen billion, five hundred sixty-five million, two hundred ten thousand, four hundred thirty-two".