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21564340824 = 23313619711681
BaseRepresentation
bin10100000101010101…
…011011101001011000
32001122212010000102210
4110011111123221120
5323130432401244
613523450355120
71362245605215
oct240525335130
961585100383
1021564340824
119166565484
124219a2baa0
1320588068b0
141087d76b0c
158632744b9
hex50555ba58

21564340824 has 128 divisors (see below), whose sum is σ = 59623058880. Its totient is φ = 6458572800.

The previous prime is 21564340799. The next prime is 21564340841. The reversal of 21564340824 is 42804346512.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1840264 + ... + 1851944.

Almost surely, 221564340824 is an apocalyptic number.

21564340824 is a gapful number since it is divisible by the number (24) 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 21564340824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29811529440).

21564340824 is an abundant number, since it is smaller than the sum of its proper divisors (38058718056).

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

21564340824 is a wasteful number, since it uses less digits than its factorization.

21564340824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11861 (or 11857 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 21564340824 in words is "twenty-one billion, five hundred sixty-four million, three hundred forty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 97 104 122 156 183 194 244 291 312 366 388 488 582 732 776 793 1164 1261 1464 1586 2328 2379 2522 3172 3783 4758 5044 5917 6344 7566 9516 10088 11681 11834 15132 17751 19032 23362 23668 30264 35043 35502 46724 47336 70086 71004 76921 93448 140172 142008 151853 153842 230763 280344 303706 307684 455559 461526 607412 615368 712541 911118 923052 1133057 1214824 1425082 1822236 1846104 2137623 2266114 2850164 3399171 3644472 4275246 4532228 5700328 6798342 8550492 9064456 9263033 13596684 14729741 17100984 18526066 27193368 27789099 29459482 37052132 44189223 55578198 58918964 69116477 74104264 88378446 111156396 117837928 138232954 176756892 207349431 222312792 276465908 353513784 414698862 552931816 829397724 898514201 1658795448 1797028402 2695542603 3594056804 5391085206 7188113608 10782170412 21564340824