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23184640404 = 223235310131801
BaseRepresentation
bin10101100101111010…
…011000100110010100
32012211202222202121100
4111211322120212110
5334440231443104
614352331150100
71450352122542
oct254572304624
965752882540
1023184640404
119918141542
1245b05a5330
1322563c9243
14119d232d92
1590a633139
hex565e98994

23184640404 has 72 divisors (see below), whose sum is σ = 58862322792. Its totient is φ = 7694438400.

The previous prime is 23184640379. The next prime is 23184640421. The reversal of 23184640404 is 40404648132.

23184640404 is a `hidden beast` number, since 2 + 3 + 1 + 8 + 4 + 640 + 4 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1239180804 + 21945459600 = 35202^2 + 148140^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 12872304 + ... + 12874104.

It is an arithmetic number, because the mean of its divisors is an integer number (817532261).

Almost surely, 223184640404 is an apocalyptic number.

It is an amenable number.

23184640404 is an abundant number, since it is smaller than the sum of its proper divisors (35677682388).

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

23184640404 is a wasteful number, since it uses less digits than its factorization.

23184640404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 23184640404 in words is "twenty-three billion, one hundred eighty-four million, six hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 353 706 1013 1059 1412 1801 2026 2118 3039 3177 3602 4052 4236 5403 6078 6354 7204 9117 10806 12156 12708 16209 18234 21612 32418 36468 64836 357589 635753 715178 1072767 1271506 1430356 1824413 1907259 2145534 2543012 3218301 3648826 3814518 4291068 5473239 5721777 6436602 7297652 7629036 10946478 11443554 12873204 16419717 21892956 22887108 32839434 65678868 644017789 1288035578 1932053367 2576071156 3864106734 5796160101 7728213468 11592320202 23184640404