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117418616896 = 26722922112
BaseRepresentation
bin110110101011010110…
…0011110100001000000
3102020002002211202120211
41231112230132201000
53410433131220041
6125535200243504
711324512530100
oct1552654364100
9366062752524
10117418616896
1145884825859
121a90b310594
13b0c3462149
14597c58d200
1530c3551481
hex1b56b1e840

117418616896 has 189 divisors, whose sum is σ = 282049124877. Its totient is φ = 48356743680.

The previous prime is 117418616881. The next prime is 117418616923. The reversal of 117418616896 is 698616814711.

It is a happy number.

The square root of 117418616896 is 342664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 61571474496 + 55847142400 = 248136^2 + 236320^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 117418616896.

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 26 ways as a sum of consecutive naturals, for example, 556486231 + ... + 556486441.

Almost surely, 2117418616896 is an apocalyptic number.

117418616896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117418616896 is the 342664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117418616896

117418616896 is an abundant number, since it is smaller than the sum of its proper divisors (164630507981).

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

117418616896 is an frugal number, since it uses more digits than its factorization.

117418616896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 249 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 58.

The spelling of 117418616896 in words is "one hundred seventeen billion, four hundred eighteen million, six hundred sixteen thousand, eight hundred ninety-six".