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117874802240 = 265131913910729
BaseRepresentation
bin110110111000111100…
…0101011111001000000
3102021020220020101020022
41231301320223321000
53412401422132430
6130052334033012
711342022200366
oct1556170537100
9367226211208
10117874802240
1145a99286638
121aa18048768
13b166b162c0
1459c2dbb636
1530ed6124e5
hex1b71e2be40

117874802240 has 224 divisors, whose sum is σ = 320509392000. Its totient is φ = 40931868672.

The previous prime is 117874802231. The next prime is 117874802251. The reversal of 117874802240 is 42208478711.

It is a Cunningham number, because it is equal to 3433292-1.

It is a junction number, because it is equal to n+sod(n) for n = 117874802191 and 117874802200.

It is an unprimeable number.

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, 10981196 + ... + 10991924.

It is an arithmetic number, because the mean of its divisors is an integer number (1430845500).

Almost surely, 2117874802240 is an apocalyptic number.

117874802240 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 117874802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160254696000).

117874802240 is an abundant number, since it is smaller than the sum of its proper divisors (202634589760).

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

117874802240 is a wasteful number, since it uses less digits than its factorization.

117874802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917 (or 10907 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 44.

The spelling of 117874802240 in words is "one hundred seventeen billion, eight hundred seventy-four million, eight hundred two thousand, two hundred forty".