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117414982080 = 2634511411809
BaseRepresentation
bin110110101011001111…
…0100111000111000000
3102020001212000002120000
41231112132213013000
53410431213411310
6125534550320000
711324436611004
oct1552636470700
9366055002500
10117414982080
1145882772980
121a90a059000
13b0c278b876
14597bcc4704
1530c30844c0
hex1b567a71c0

117414982080 has 280 divisors, whose sum is σ = 455636467440. Its totient is φ = 28464168960.

The previous prime is 117414982021. The next prime is 117414982093. The reversal of 117414982080 is 80289414711.

117414982080 is a `hidden beast` number, since 11 + 74 + 1 + 498 + 2 + 0 + 80 = 666.

It is a super-2 number, since 2×1174149820802 (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79216 + ... + 491024.

It is an arithmetic number, because the mean of its divisors is an integer number (1627273098).

Almost surely, 2117414982080 is an apocalyptic number.

117414982080 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 117414982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227818233720).

117414982080 is an abundant number, since it is smaller than the sum of its proper divisors (338221485360).

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

117414982080 is a wasteful number, since it uses less digits than its factorization.

117414982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411849 (or 411830 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 117414982080 in words is "one hundred seventeen billion, four hundred fourteen million, nine hundred eighty-two thousand, eighty".