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99040627713258 = 23271189802897577
BaseRepresentation
bin10110100001001110110001…
…011011101110010011101010
3110222200012011122002210000100
4112201032301123232103222
5100440140201143311013
6550350345233050230
726601310040225640
oct2641166133562352
9428605148083010
1099040627713258
11296149923a6610
12b1368a19b6976
13433564ccac72a
141a65840495190
15b6b419bd4473
hex5a13b16ee4ea

99040627713258 has 96 divisors (see below), whose sum is σ = 270544367882880. Its totient is φ = 25435795207680.

The previous prime is 99040627713241. The next prime is 99040627713259. The reversal of 99040627713258 is 85231772604099.

99040627713258 is a `hidden beast` number, since 9 + 90 + 406 + 2 + 7 + 7 + 132 + 5 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 99040627713195 and 99040627713204.

It is not an unprimeable number, because it can be changed into a prime (99040627713259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401325435 + ... + 401572142.

It is an arithmetic number, because the mean of its divisors is an integer number (2818170498780).

It is a 1-persistent number, because it is pandigital, but 2⋅99040627713258 = 198081255426516 is not.

Almost surely, 299040627713258 is an apocalyptic number.

99040627713258 is an abundant number, since it is smaller than the sum of its proper divisors (171503740169622).

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

99040627713258 is a wasteful number, since it uses less digits than its factorization.

99040627713258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802897692 (or 802897689 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 99040627713258 in words is "ninety-nine trillion, forty billion, six hundred twenty-seven million, seven hundred thirteen thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 89 99 126 154 178 198 231 267 462 534 623 693 801 979 1246 1386 1602 1869 1958 2937 3738 5607 5874 6853 8811 11214 13706 17622 20559 41118 61677 123354 802897577 1605795154 2408692731 4817385462 5620283039 7226078193 8831873347 11240566078 14452156386 16860849117 17663746694 26495620041 33721698234 50582547351 52991240082 61823113429 71457884353 79486860123 101165094702 123646226858 142915768706 158973720246 185469340287 214373653059 370938680574 428747306118 500205190471 556408020861 643120959177 786036727883 1000410380942 1112816041722 1286241918354 1500615571413 1572073455766 2358110183649 3001231142826 4501846714239 4716220367298 5502257095181 7074330550947 9003693428478 11004514190362 14148661101894 16506771285543 33013542571086 49520313856629 99040627713258