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117671879342889 = 32733249332
BaseRepresentation
bin11010110000010110011110…
…100100010111101100101001
3120102122022200121000202122100
4122300112132210113230221
5110410414002102433024
61054133414243244013
733533340603130404
oct3260263644275451
9512568617022570
10117671879342889
113454840020a243
1211245722379609
135087545151c31
14210b4c6880d3b
15d90db036c7c9
hex6b059e917b29

117671879342889 has 27 divisors (see below), whose sum is σ = 170237201949477. Its totient is φ = 78325015494816.

The previous prime is 117671879342827. The next prime is 117671879342921. The reversal of 117671879342889 is 988243978176711.

The square root of 117671879342889 is 10847667.

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

117671879342889 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 7 + 187 + 9 + 3 + 428 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21774514344489 + 95897364998400 = 4666317^2 + 9792720^2 .

It is not a de Polignac number, because 117671879342889 - 27 = 117671879342761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117671879342389) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23854017267 + ... + 23854022199.

Almost surely, 2117671879342889 is an apocalyptic number.

117671879342889 is the 10847667-th square number.

117671879342889 is the 5423834-th centered octagonal number.

It is an amenable number.

117671879342889 is a deficient number, since it is larger than the sum of its proper divisors (52565322606588).

117671879342889 is an frugal number, since it uses more digits than its factorization.

117671879342889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11338 (or 5669 counting only the distinct ones).

The product of its digits is 2048385024, while the sum is 81.

The spelling of 117671879342889 in words is "one hundred seventeen trillion, six hundred seventy-one billion, eight hundred seventy-nine million, three hundred forty-two thousand, eight hundred eighty-nine".

Divisors: 1 3 9 733 2199 4933 6597 14799 44397 537289 1611867 3615889 4835601 10847667 24334489 32543001 73003467 219010401 2650446637 7951339911 17837180437 23854019733 53511541311 160534623933 13074653260321 39223959780963 117671879342889