Search a number
-
+
117729258864 = 24372291726033
BaseRepresentation
bin110110110100100110…
…1011110110101110000
3102020212202101000020220
41231221031132311300
53412102142240424
6130030054333040
711335304121600
oct1555115366560
9366782330226
10117729258864
1145a24108758
121a99735a180
13b142917a69
1459ab932c00
1530e0963579
hex1b6935ed70

117729258864 has 120 divisors (see below), whose sum is σ = 365988249360. Its totient is φ = 32477018112.

The previous prime is 117729258859. The next prime is 117729258883. The reversal of 117729258864 is 468852927711.

It is a junction number, because it is equal to n+sod(n) for n = 117729258798 and 117729258807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 794809 + ... + 931224.

It is an arithmetic number, because the mean of its divisors is an integer number (3049902078).

Almost surely, 2117729258864 is an apocalyptic number.

117729258864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

117729258864 is an abundant number, since it is smaller than the sum of its proper divisors (248258990496).

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

117729258864 is a wasteful number, since it uses less digits than its factorization.

117729258864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726087 (or 1726074 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 60.

The spelling of 117729258864 in words is "one hundred seventeen billion, seven hundred twenty-nine million, two hundred fifty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 84 87 98 112 116 147 168 174 196 203 232 294 336 348 392 406 464 588 609 696 784 812 1176 1218 1392 1421 1624 2352 2436 2842 3248 4263 4872 5684 8526 9744 11368 17052 22736 34104 68208 1726033 3452066 5178099 6904132 10356198 12082231 13808264 20712396 24164462 27616528 36246693 41424792 48328924 50054957 72493386 82849584 84575617 96657848 100109914 144986772 150164871 169151234 193315696 200219828 253726851 289973544 300329742 338302468 350384699 400439656 507453702 579947088 600659484 676604936 700769398 800879312 1014907404 1051154097 1201318968 1353209872 1401538796 2029814808 2102308194 2402637936 2452692893 2803077592 4059629616 4204616388 4905385786 5606155184 7358078679 8409232776 9810771572 14716157358 16818465552 19621543144 29432314716 39243086288 58864629432 117729258864