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45755255754 = 23313459114197
BaseRepresentation
bin101010100111001110…
…011100101111001010
311101002202120211012000
4222213032130233022
51222201321141004
633004125531430
73206600154045
oct524716345712
9141082524160
1045755255754
111844a71595a
128a4b413b76
134412528c40
142300aabc5c
1512cbdc7c39
hexaa739cbca

45755255754 has 64 divisors (see below), whose sum is σ = 109531322880. Its totient is φ = 14074482240.

The previous prime is 45755255729. The next prime is 45755255771.

45755255754 is a `hidden beast` number, since 45 + 7 + 5 + 5 + 25 + 575 + 4 = 666.

45755255754 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×457552557542 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45755255754.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3215784 + ... + 3229980.

It is an arithmetic number, because the mean of its divisors is an integer number (1711426920).

Almost surely, 245755255754 is an apocalyptic number.

45755255754 is an abundant number, since it is smaller than the sum of its proper divisors (63776067126).

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

45755255754 is a wasteful number, since it uses less digits than its factorization.

45755255754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18812 (or 18806 counting only the distinct ones).

The product of its digits is 24500000, while the sum is 54.

The spelling of 45755255754 in words is "forty-five billion, seven hundred fifty-five million, two hundred fifty-five thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 4591 9182 13773 14197 27546 28394 41319 42591 59683 82638 85182 119366 123957 127773 179049 184561 247914 255546 358098 369122 383319 537147 553683 766638 1074294 1107366 1611441 1661049 3222882 3322098 4983147 9966294 65178427 130356854 195535281 391070562 586605843 847319551 1173211686 1694639102 1759817529 2541958653 3519635058 5083917306 7625875959 15251751918 22877627877 45755255754