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45044688346218 = 2321111315311314997
BaseRepresentation
bin10100011110111110010001…
…01001011101110001101010
312220111020012210001100011200
422033133020221131301222
521401003010204034333
6235445124423105030
712326241240346431
oct1217371051356152
9186436183040150
1045044688346218
1113397388293570
125075b66ba2176
131c19907b21832
14b1a262d66118
15531ab0819c13
hex28f7c8a5dc6a

45044688346218 has 96 divisors (see below), whose sum is σ = 107481708689472. Its totient is φ = 13520262873600.

The previous prime is 45044688346199. The next prime is 45044688346249. The reversal of 45044688346218 is 81264388644054.

It is a happy number.

45044688346218 is a `hidden beast` number, since 4 + 50 + 4 + 46 + 8 + 83 + 462 + 1 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33597096 + ... + 34912092.

It is an arithmetic number, because the mean of its divisors is an integer number (1119601132182).

Almost surely, 245044688346218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45044688346218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53740854344736).

45044688346218 is an abundant number, since it is smaller than the sum of its proper divisors (62437020343254).

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

45044688346218 is a wasteful number, since it uses less digits than its factorization.

45044688346218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316660 (or 1316657 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 45044688346218 in words is "forty-five trillion, forty-four billion, six hundred eighty-eight million, three hundred forty-six thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 113 198 226 339 678 1017 1243 1531 2034 2486 3062 3729 4593 7458 9186 11187 13779 16841 22374 27558 33682 50523 101046 151569 173003 303138 346006 519009 1038018 1314997 1557027 1903033 2629994 3114054 3806066 3944991 5709099 7889982 11418198 11834973 14464967 17127297 23669946 28929934 34254594 43394901 86789802 130184703 148594661 260369406 297189322 445783983 891567966 1337351949 1634541271 2013260407 2674703898 3269082542 4026520814 4903623813 6039781221 9807247626 12079562442 14710871439 18119343663 22145864477 29421742878 36238687326 44291728954 66437593431 132875186862 199312780293 227498425991 398625560586 454996851982 682495277973 1364990555946 2047485833919 2502482685901 4094971667838 5004965371802 7507448057703 15014896115406 22522344173109 45044688346218