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21705384924 = 22322347954727
BaseRepresentation
bin10100001101101111…
…011110001111011100
32002000200111210120100
4110031233132033130
5323423034304144
613545445421100
71365610504416
oct241557361734
962020453510
1021705384924
11922913aa53
12425910a790
13207babb242
14109c9ad9b6
15870835269
hex50dbde3dc

21705384924 has 72 divisors (see below), whose sum is σ = 57372456960. Its totient is φ = 6905983392.

The previous prime is 21705384913. The next prime is 21705384929. The reversal of 21705384924 is 42948350712.

21705384924 is a `hidden beast` number, since 2 + 1 + 70 + 538 + 49 + 2 + 4 = 666.

It is a super-2 number, since 2×217053849242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21705384924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21705384929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369249 + ... + 423975.

It is an arithmetic number, because the mean of its divisors is an integer number (796839680).

Almost surely, 221705384924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21705384924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28686228480).

21705384924 is an abundant number, since it is smaller than the sum of its proper divisors (35667072036).

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

21705384924 is a wasteful number, since it uses less digits than its factorization.

21705384924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55239 (or 55234 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 21705384924 in words is "twenty-one billion, seven hundred five million, three hundred eighty-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 479 828 958 1437 1916 2874 4311 5748 8622 11017 17244 22034 33051 44068 54727 66102 99153 109454 132204 164181 198306 218908 328362 396612 492543 656724 985086 1258721 1970172 2517442 3776163 5034884 7552326 11328489 15104652 22656978 26214233 45313956 52428466 78642699 104856932 157285398 235928097 314570796 471856194 602927359 943712388 1205854718 1808782077 2411709436 3617564154 5426346231 7235128308 10852692462 21705384924