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21642561325 = 5272111984533
BaseRepresentation
bin10100001001111111…
…110100011100101101
32001212022022000210101
4110021333310130231
5323310443430300
613535323111101
71364215510300
oct241177643455
961768260711
1021642561325
1191a6730720
124240072491
13206ba93008
1410944d8b37
1586a075b6a
hex509ff472d

21642561325 has 72 divisors (see below), whose sum is σ = 35849178720. Its totient is φ = 12781238400.

The previous prime is 21642561299. The next prime is 21642561337. The reversal of 21642561325 is 52316524612.

It is not a de Polignac number, because 21642561325 - 211 = 21642559277 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 213759 + ... + 298291.

It is an arithmetic number, because the mean of its divisors is an integer number (497905260).

Almost surely, 221642561325 is an apocalyptic number.

21642561325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21642561325 is a deficient number, since it is larger than the sum of its proper divisors (14206617395).

21642561325 is a wasteful number, since it uses less digits than its factorization.

21642561325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84587 (or 84575 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The spelling of 21642561325 in words is "twenty-one billion, six hundred forty-two million, five hundred sixty-one thousand, three hundred twenty-five".

Divisors: 1 5 7 11 19 25 35 49 55 77 95 133 175 209 245 275 385 475 539 665 931 1045 1225 1463 1925 2695 3325 4655 5225 7315 10241 13475 23275 36575 51205 84533 256025 422665 591731 929863 1606127 2113325 2958655 4142117 4649315 6509041 8030635 11242889 14793275 17667397 20710585 23246575 32545205 40153175 45563287 56214445 78700223 88336985 103552925 123671779 162726025 227816435 281072225 393501115 441684925 618358895 865702453 1139082175 1967505575 3091794475 4328512265 21642561325