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91168450056 = 23322275719769
BaseRepresentation
bin101010011101000010…
…0000010011000001000
322201022200112010021100
41110322010002120020
52443203110400211
6105514320141400
76405145016325
oct1247204023010
9281280463240
1091168450056
11357342389a2
1215804167860
13879bc1b148
1445ac177b4c
152588c34156
hex153a102608

91168450056 has 96 divisors (see below), whose sum is σ = 248462042400. Its totient is φ = 30199530240.

The previous prime is 91168450039. The next prime is 91168450097. The reversal of 91168450056 is 65005486119.

91168450056 is a `hidden beast` number, since 9 + 1 + 16 + 84 + 500 + 56 = 666.

It is a super-3 number, since 3×911684500563 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 91168449993 and 91168450020.

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, 9327540 + ... + 9337308.

It is an arithmetic number, because the mean of its divisors is an integer number (2588146275).

Almost surely, 291168450056 is an apocalyptic number.

It is an amenable number.

91168450056 is an abundant number, since it is smaller than the sum of its proper divisors (157293592344).

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

91168450056 is a wasteful number, since it uses less digits than its factorization.

91168450056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10579 (or 10572 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 91168450056 in words is "ninety-one billion, one hundred sixty-eight million, four hundred fifty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 227 454 571 681 908 1142 1362 1713 1816 2043 2284 2724 3426 4086 4568 5139 5448 6852 8172 9769 10278 13704 16344 19538 20556 29307 39076 41112 58614 78152 87921 117228 129617 175842 234456 259234 351684 388851 518468 703368 777702 1036936 1166553 1555404 2217563 2333106 3110808 4435126 4666212 5578099 6652689 8870252 9332424 11156198 13305378 16734297 17740504 19958067 22312396 26610756 33468594 39916134 44624792 50202891 53221512 66937188 79832268 100405782 133874376 159664536 200811564 401623128 1266228473 2532456946 3798685419 5064913892 7597370838 10129827784 11396056257 15194741676 22792112514 30389483352 45584225028 91168450056