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116643159360 = 26325731331293
BaseRepresentation
bin110110010100001111…
…0010101110101000000
3102011002001200102211100
41230220132111311000
53402341122044420
6125330215414400
711266345332000
oct1545036256500
9364061612740
10116643159360
1145517028062
121a733684400
13accb8c3130
1459075b2000
15307a426190
hex1b28795d40

116643159360 has 1344 divisors, whose sum is σ = 521895628800. Its totient is φ = 23735255040.

The previous prime is 116643159337. The next prime is 116643159397. The reversal of 116643159360 is 63951346611.

116643159360 is a `hidden beast` number, since 1 + 16 + 6 + 43 + 1 + 593 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 398099374 + ... + 398099666.

It is an arithmetic number, because the mean of its divisors is an integer number (388315200).

Almost surely, 2116643159360 is an apocalyptic number.

116643159360 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 116643159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260947814400).

116643159360 is an abundant number, since it is smaller than the sum of its proper divisors (405252469440).

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

116643159360 is a wasteful number, since it uses less digits than its factorization.

116643159360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 116643159360 in words is "one hundred sixteen billion, six hundred forty-three million, one hundred fifty-nine thousand, three hundred sixty".