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116376970752 = 293372235393
BaseRepresentation
bin110110001100010011…
…0111010011000000000
3102010101111210122201000
41230120212322120000
53401320001031002
6125243550212000
711256633633630
oct1543046723000
9363344718630
10116376970752
114539a847679
121a67a4b4000
13ac88703093
1458c00c06c0
153061d9561c
hex1b189ba600

116376970752 has 320 divisors, whose sum is σ = 395534684160. Its totient is φ = 33095319552.

The previous prime is 116376970751. The next prime is 116376970789. The reversal of 116376970752 is 257079673611.

116376970752 is a `hidden beast` number, since 116 + 376 + 97 + 0 + 75 + 2 = 666.

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 (116376970751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21576568 + ... + 21581960.

It is an arithmetic number, because the mean of its divisors is an integer number (1236045888).

Almost surely, 2116376970752 is an apocalyptic number.

116376970752 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 116376970752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197767342080).

116376970752 is an abundant number, since it is smaller than the sum of its proper divisors (279157713408).

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

116376970752 is an equidigital number, since it uses as much as digits as its factorization.

116376970752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5650 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 116376970752 in words is "one hundred sixteen billion, three hundred seventy-six million, nine hundred seventy thousand, seven hundred fifty-two".