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117689118842880 = 2133451323314389
BaseRepresentation
bin11010110000100110100010…
…000111110110000000000000
3120102200222012001012002210000
4122300212202013312000000
5110411204303410433010
61054145345041440000
733534521035352334
oct3260464207660000
9512628161162700
10117689118842880
113455474748a7a2
1211248b33940000
13508906194c6c0
14210c2802a57c4
15d9156daa27c0
hex6b09a21f6000

117689118842880 has 4480 divisors, whose sum is σ = 506424249999360. Its totient is φ = 25898275307520.

The previous prime is 117689118842873. The next prime is 117689118842909. The reversal of 117689118842880 is 88248811986711.

117689118842880 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 8 + 9 + 118 + 8 + 428 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 117689118842799 and 117689118842808.

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 1322349649876 + ... + 1322349649964.

It is an arithmetic number, because the mean of its divisors is an integer number (113041127232).

Almost surely, 2117689118842880 is an apocalyptic number.

117689118842880 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 117689118842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253212124999680).

117689118842880 is an abundant number, since it is smaller than the sum of its proper divisors (388735131156480).

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

117689118842880 is a wasteful number, since it uses less digits than its factorization.

117689118842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 72.

The spelling of 117689118842880 in words is "one hundred seventeen trillion, six hundred eighty-nine billion, one hundred eighteen million, eight hundred forty-two thousand, eight hundred eighty".