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20634471564 = 22373795931093
BaseRepresentation
bin10011001101111010…
…010000110010001100
31222021001101202121120
4103031322100302030
5314224411042224
613251312200540
71330225054140
oct231572206214
958231352546
1020634471564
118829691993
123bba539150
131c3ac828b5
14dda683220
1580b7e7779
hex4cde90c8c

20634471564 has 96 divisors (see below), whose sum is σ = 55314040320. Its totient is φ = 5864721408.

The previous prime is 20634471499. The next prime is 20634471569. The reversal of 20634471564 is 46517443602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20634471569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18878202 + ... + 18879294.

It is an arithmetic number, because the mean of its divisors is an integer number (576187920).

Almost surely, 220634471564 is an apocalyptic number.

It is an amenable number.

20634471564 is an abundant number, since it is smaller than the sum of its proper divisors (34679568756).

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

20634471564 is a wasteful number, since it uses less digits than its factorization.

20634471564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 20634471564 in words is "twenty billion, six hundred thirty-four million, four hundred seventy-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 379 593 758 1093 1137 1186 1516 1779 2186 2274 2372 2653 3279 3558 4151 4372 4548 5306 6558 7116 7651 7959 8302 10612 12453 13116 15302 15918 16604 22953 24906 30604 31836 45906 49812 91812 224747 414247 449494 648149 674241 828494 898988 1242741 1296298 1348482 1573229 1656988 1944447 2485482 2592596 2696964 2899729 3146458 3888894 4537043 4719687 4970964 5799458 6292916 7777788 8699187 9074086 9439374 11598916 13611129 17398374 18148172 18878748 27222258 34796748 54444516 245648471 491296942 736945413 982593884 1473890826 1719539297 2947781652 3439078594 5158617891 6878157188 10317235782 20634471564