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2590432308324 = 223272383212
BaseRepresentation
bin100101101100100001110…
…011000010110001100100
3100011122100200101210212100
4211230201303002301210
5314420201132331244
65302010030252100
7355103220214200
oct45544163026144
910148320353770
102590432308324
11909661561a83
1235a062657030
1315a379c48553
148d540185b00
15475b2dd3b69
hex25b21cc2c64

2590432308324 has 81 divisors (see below), whose sum is σ = 7617303301881. Its totient is φ = 740104202880.

The previous prime is 2590432308307. The next prime is 2590432308361. The reversal of 2590432308324 is 4238032340952.

The square root of 2590432308324 is 1609482.

It is a perfect power (a square), and thus also a powerful number.

2590432308324 is a `hidden beast` number, since 2 + 5 + 90 + 4 + 3 + 230 + 8 + 324 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1601282714724 + 989149593600 = 1265418^2 + 994560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2590432308324.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67579084 + ... + 67617404.

Almost surely, 22590432308324 is an apocalyptic number.

2590432308324 is the 1609482-nd square number.

It is an amenable number.

2590432308324 is an abundant number, since it is smaller than the sum of its proper divisors (5026870993557).

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

2590432308324 is an frugal number, since it uses more digits than its factorization.

2590432308324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76666 (or 38333 counting only the distinct ones).

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

The spelling of 2590432308324 in words is "two trillion, five hundred ninety billion, four hundred thirty-two million, three hundred eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 38321 76642 114963 153284 229926 268247 344889 459852 536494 689778 804741 1072988 1379556 1609482 1877729 2414223 3218964 3755458 4828446 5633187 7510916 9656892 11266374 16899561 22532748 33799122 67598244 1468499041 2936998082 4405497123 5873996164 8810994246 10279493287 13216491369 17621988492 20558986574 26432982738 30838479861 41117973148 52865965476 61676959722 71956453009 92515439583 123353919444 143912906018 185030879166 215869359027 287825812036 370061758332 431738718054 647608077081 863477436108 1295216154162 2590432308324