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22016264513364 = 223211210150041969
BaseRepresentation
bin1010000000110000011111…
…01000000010011101010100
32212221201211022212020112200
411000120033220002131110
510341203302203411424
6114454044324044500
74431423362430162
oct500301750023524
985851738766480
1022016264513364
11701905539a500
122576a96533730
13c391813559c4
14561842c56232
15282a60ba88c9
hex14060fa02754

22016264513364 has 108 divisors (see below), whose sum is σ = 61777112216820. Its totient is φ = 6605539776000.

The previous prime is 22016264513281. The next prime is 22016264513381. The reversal of 22016264513364 is 46331546261022.

22016264513364 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 6 + 264 + 51 + 336 + 4 = 666.

22016264513364 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 20882231205264 + 1134033308100 = 4569708^2 + 1064910^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24581029 + ... + 25460940.

Almost surely, 222016264513364 is an apocalyptic number.

It is an amenable number.

22016264513364 is an abundant number, since it is smaller than the sum of its proper divisors (39760847703456).

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

22016264513364 is a wasteful number, since it uses less digits than its factorization.

22016264513364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50042102 (or 50042086 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 22016264513364 in words is "twenty-two trillion, sixteen billion, two hundred sixty-four million, five hundred thirteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 121 132 198 202 242 303 363 396 404 484 606 726 909 1089 1111 1212 1452 1818 2178 2222 3333 3636 4356 4444 6666 9999 12221 13332 19998 24442 36663 39996 48884 73326 109989 146652 219978 439956 50041969 100083938 150125907 200167876 300251814 450377721 550461659 600503628 900755442 1100923318 1651384977 1801510884 2201846636 3302769954 4954154931 5054238869 6055078249 6605539908 9908309862 10108477738 12110156498 15162716607 18165234747 19816619724 20216955476 24220312996 30325433214 36330469494 45488149821 54495704241 55596627559 60650866428 72660938988 90976299642 108991408482 111193255118 166789882677 181952599284 217982816964 222386510236 333579765354 500369648031 611562903149 667159530708 1000739296062 1223125806298 1834688709447 2001478592124 2446251612596 3669377418894 5504066128341 7338754837788 11008132256682 22016264513364