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21064539672 = 23331170112647
BaseRepresentation
bin10011100111100010…
…110101111000011000
32000101000122111011000
4103213202311320120
5321120010232142
613402114105000
71343666430051
oct234742657030
960330574130
1021064539672
118a2a424480
1240ba57b160
131ca90c1177
14103b833728
1583444a14c
hex4e78b5e18

21064539672 has 128 divisors (see below), whose sum is σ = 63928051200. Its totient is φ = 6373584000.

The previous prime is 21064539667. The next prime is 21064539679. The reversal of 21064539672 is 27693546012.

21064539672 is a `hidden beast` number, since 2 + 106 + 4 + 539 + 6 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21064539679) 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, 1659253 + ... + 1671899.

It is an arithmetic number, because the mean of its divisors is an integer number (499437900).

Almost surely, 221064539672 is an apocalyptic number.

21064539672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21064539672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31964025600).

21064539672 is an abundant number, since it is smaller than the sum of its proper divisors (42863511528).

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

21064539672 is a wasteful number, since it uses less digits than its factorization.

21064539672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13374 (or 13364 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 21064539672 in words is "twenty-one billion, sixty-four million, five hundred thirty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 701 792 1188 1402 2103 2376 2804 4206 5608 6309 7711 8412 12618 12647 15422 16824 18927 23133 25236 25294 30844 37854 37941 46266 50472 50588 61688 69399 75708 75882 92532 101176 113823 138798 139117 151416 151764 185064 208197 227646 277596 278234 303528 341469 416394 417351 455292 555192 556468 682938 832788 834702 910584 1112936 1252053 1365876 1665576 1669404 2504106 2731752 3338808 3756159 5008212 7512318 8865547 10016424 15024636 17731094 26596641 30049272 35462188 53193282 70924376 79789923 97521017 106386564 159579846 195042034 212773128 239369769 292563051 319159692 390084068 478739538 585126102 638319384 780168136 877689153 957479076 1170252204 1755378306 1914958152 2340504408 2633067459 3510756612 5266134918 7021513224 10532269836 21064539672