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117922137766416 = 24329049332
BaseRepresentation
bin11010110011111111100011…
…001000011111101000010000
3120110112020122112101220012100
4122303333203020133220100
5110424014014232011131
61054444403210000400
733560410334464464
oct3263774310375020
9513466575356170
10117922137766416
11346345525aa955
1211286125416100
1350a5018912649
1421196677224a4
15d9765abd17e6
hex6b3fe321fa10

117922137766416 has 45 divisors (see below), whose sum is σ = 330018569687469. Its totient is φ = 39307335818688.

The previous prime is 117922137766409. The next prime is 117922137766421. The reversal of 117922137766416 is 614667731229711.

The square root of 117922137766416 is 10859196.

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

117922137766416 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 22 + 137 + 7 + 66 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 219080163600 + 117703057602816 = 468060^2 + 10849104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 129857886 + ... + 130762818.

Almost surely, 2117922137766416 is an apocalyptic number.

117922137766416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117922137766416 is the 10859196-th square number.

It is an amenable number.

117922137766416 is an abundant number, since it is smaller than the sum of its proper divisors (212096431921053).

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

117922137766416 is an frugal number, since it uses more digits than its factorization.

117922137766416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809880 (or 904938 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 117922137766416 in words is "one hundred seventeen trillion, nine hundred twenty-two billion, one hundred thirty-seven million, seven hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 904933 1809866 2714799 3619732 5429598 7239464 8144397 10859196 14478928 16288794 21718392 32577588 43436784 65155176 130310352 818903734489 1637807468978 2456711203467 3275614937956 4913422406934 6551229875912 7370133610401 9826844813868 13102459751824 14740267220802 19653689627736 29480534441604 39307379255472 58961068883208 117922137766416