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118139793408 = 212347213243
BaseRepresentation
bin110111000000110101…
…1100011000000000000
3102021221100212022210000
41232001223203000000
53413422241342113
6130134521440000
711351420450400
oct1560153430000
9367840768700
10118139793408
11461149193aa
121aa90940000
13b1a99a7300
145a0a27a800
153116a08373
hex1b81ae3000

118139793408 has 1170 divisors, whose sum is σ = 454884269004. Its totient is φ = 30433148928.

The previous prime is 118139793377. The next prime is 118139793413. The reversal of 118139793408 is 804397931811.

It is a happy number.

118139793408 is a `hidden beast` number, since 1 + 18 + 139 + 7 + 93 + 408 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2747437035 + ... + 2747437077.

Almost surely, 2118139793408 is an apocalyptic number.

118139793408 is a gapful number since it is divisible by the number (18) 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 118139793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227442134502).

118139793408 is an abundant number, since it is smaller than the sum of its proper divisors (336744475596).

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

118139793408 is an equidigital number, since it uses as much as digits as its factorization.

118139793408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 118139793408 in words is "one hundred eighteen billion, one hundred thirty-nine million, seven hundred ninety-three thousand, four hundred eight".