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107869453614 = 232133123962219
BaseRepresentation
bin110010001110110000…
…1010011110100101110
3101022102121102000011200
41210131201103310232
53231404040003424
6121315440430330
710536051140646
oct1443541236456
9338377360150
10107869453614
114182454907a
1218aa53183a6
13a230ca5480
145314265526
152c150498c9
hex191d853d2e

107869453614 has 96 divisors (see below), whose sum is σ = 260905881600. Its totient is φ = 31985029440.

The previous prime is 107869453591. The next prime is 107869453649. The reversal of 107869453614 is 416354968701.

107869453614 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 6 + 94 + 536 + 14 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1702597 + ... + 1764815.

It is an arithmetic number, because the mean of its divisors is an integer number (2717769600).

Almost surely, 2107869453614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107869453614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130452940800).

107869453614 is an abundant number, since it is smaller than the sum of its proper divisors (153036427986).

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

107869453614 is a wasteful number, since it uses less digits than its factorization.

107869453614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62510 (or 62507 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 107869453614 in words is "one hundred seven billion, eight hundred sixty-nine million, four hundred fifty-three thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 239 279 403 478 558 717 806 1209 1434 2151 2418 3107 3627 4302 6214 7254 7409 9321 14818 18642 22227 27963 44454 55926 62219 66681 96317 124438 133362 186657 192634 288951 373314 559971 577902 808847 866853 1119942 1617694 1733706 1928789 2426541 3857578 4853082 5786367 7279623 11572734 14559246 14870341 17359101 25074257 29740682 34718202 44611023 50148514 75222771 89222046 133833069 150445542 193314433 225668313 267666138 386628866 451336626 460980571 579943299 921961142 1159886598 1382941713 1739829897 2765883426 3479659794 4148825139 5992747423 8297650278 11985494846 17978242269 35956484538 53934726807 107869453614