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2564352675 = 345217163457
BaseRepresentation
bin1001100011011000…
…1110101010100011
320121201021121120000
42120312032222203
520222433241200
61102242551043
7120355431603
oct23066165243
96551247500
102564352675
1110a6568135
125b6968483
1331b371661
141a4802c03
151001dd300
hex98d8eaa3

2564352675 has 120 divisors (see below), whose sum is σ = 5071412016. Its totient is φ = 1276508160.

The previous prime is 2564352671. The next prime is 2564352683. The reversal of 2564352675 is 5762534652.

2564352675 is a `hidden beast` number, since 2 + 56 + 4 + 3 + 526 + 75 = 666.

2564352675 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2564352675 - 22 = 2564352671 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2564352675.

It is not an unprimeable number, because it can be changed into a prime (2564352671) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5611047 + ... + 5611503.

Almost surely, 22564352675 is an apocalyptic number.

2564352675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2564352675 is a deficient number, since it is larger than the sum of its proper divisors (2507059341).

2564352675 is a wasteful number, since it uses less digits than its factorization.

2564352675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 645 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 2564352675 is about 50639.4379411936. The cubic root of 2564352675 is about 1368.7556276744.

The spelling of 2564352675 in words is "two billion, five hundred sixty-four million, three hundred fifty-two thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 163 225 255 405 425 457 459 489 675 765 815 1275 1371 1377 1467 2025 2285 2295 2445 2771 3825 4075 4113 4401 6855 6885 7335 7769 8313 11425 11475 12225 12339 13203 13855 20565 22005 23307 24939 34275 34425 36675 37017 38845 41565 61695 66015 69275 69921 74491 74817 102825 110025 116535 124695 185085 194225 207825 209763 223473 224451 308475 330075 349605 372455 374085 582675 623475 629289 670419 925425 1048815 1117365 1122255 1266347 1748025 1862275 1870425 2011257 3146445 3352095 3799041 5244075 5586825 5611275 6033771 6331735 10056285 11397123 15732225 16760475 18995205 30168855 31658675 34191369 50281425 56985615 94976025 102574107 150844275 170956845 284928075 512870535 854784225 2564352675