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21634113540 = 22351342736491
BaseRepresentation
bin10100001001011111…
…100110000000000100
32001211201101211121110
4110021133212000010
5323301313113130
613534422045020
71364053634214
oct241137460004
961751354543
1021634113540
1191a1990786
124239279770
13206a0c5b20
14109333a244
15869457ab0
hex5097e6004

21634113540 has 96 divisors (see below), whose sum is σ = 65260492416. Its totient is φ = 5323253760.

The previous prime is 21634113533. The next prime is 21634113541. The reversal of 21634113540 is 4531143612.

It is a super-2 number, since 2×216341135402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21634113498 and 21634113507.

It is not an unprimeable number, because it can be changed into a prime (21634113541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3329695 + ... + 3336185.

It is an arithmetic number, because the mean of its divisors is an integer number (679796796).

Almost surely, 221634113540 is an apocalyptic number.

21634113540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21634113540 is an abundant number, since it is smaller than the sum of its proper divisors (43626378876).

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

21634113540 is a wasteful number, since it uses less digits than its factorization.

21634113540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10789 (or 10787 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 21634113540 in words is "twenty-one billion, six hundred thirty-four million, one hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 4273 6491 8546 12819 12982 17092 19473 21365 25638 25964 32455 38946 42730 51276 55549 64095 64910 77892 84383 85460 97365 111098 128190 129820 166647 168766 194730 222196 253149 256380 277745 333294 337532 389460 421915 506298 555490 666588 833235 843830 1012596 1110980 1265745 1666470 1687660 2531490 3332940 5062980 27736043 55472086 83208129 110944172 138680215 166416258 277360430 332832516 360568559 416040645 554720860 721137118 832081290 1081705677 1442274236 1664162580 1802842795 2163411354 3605685590 4326822708 5408528385 7211371180 10817056770 21634113540