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45673904322 = 2362921932
BaseRepresentation
bin101010100010011000…
…000111100011000010
311100220002111202000000
4222202120013203002
51222020004414242
632552102140430
73204561531624
oct524230074302
9140802452000
1045673904322
1118408801372
128a28121716
1343cb7146b7
1422d3d72c14
1512c4ba8a4c
hexaa26078c2

45673904322 has 126 divisors (see below), whose sum is σ = 106937544987. Its totient is φ = 14623483392.

The previous prime is 45673904261. The next prime is 45673904363. The reversal of 45673904322 is 22340937654.

45673904322 is a `hidden beast` number, since 456 + 73 + 90 + 43 + 2 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 12034309401 + 33639594921 = 109701^2 + 183411^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=151119.

It is a super-2 number, since 2×456739043222 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 236652258 + ... + 236652450.

Almost surely, 245673904322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45673904322

45673904322 is an abundant number, since it is smaller than the sum of its proper divisors (61263640665).

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

45673904322 is an frugal number, since it uses more digits than its factorization.

45673904322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 45673904322 in words is "forty-five billion, six hundred seventy-three million, nine hundred four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 193 243 261 386 486 522 579 729 783 841 1158 1458 1566 1682 1737 2349 2523 3474 4698 5046 5211 5597 7047 7569 10422 11194 14094 15138 15633 16791 21141 22707 31266 33582 37249 42282 45414 46899 50373 68121 74498 93798 100746 111747 136242 140697 151119 162313 204363 223494 281394 302238 324626 335241 408726 453357 486939 613089 670482 906714 973878 1005723 1080221 1226178 1360071 1460817 2011446 2160442 2720142 2921634 3017169 3240663 4080213 4382451 6034338 6481326 8160426 8764902 9051507 9721989 13147353 18103014 19443978 26294706 27154521 29165967 31326409 39442059 54309042 58331934 62652818 78884118 87497901 93979227 118326177 174995802 187958454 236652354 262493703 281937681 524987406 563875362 787481109 845813043 1574962218 1691626086 2537439129 5074878258 7612317387 15224634774 22836952161 45673904322