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21522521304 = 23324116344729
BaseRepresentation
bin10100000010110101…
…111001110011011000
32001112221102100211200
4110002311321303120
5323034231140204
613515354154200
71361230261344
oct240265716330
961487370750
1021522521304
1191449a1899
124207a22960
13204cc53b0b
1410825ac624
1585e763539
hex502d79cd8

21522521304 has 96 divisors (see below), whose sum is σ = 60079546800. Its totient is φ = 6956098560.

The previous prime is 21522521297. The next prime is 21522521327. The reversal of 21522521304 is 40312522512.

21522521304 is a `hidden beast` number, since 2 + 1 + 522 + 5 + 2 + 130 + 4 = 666.

It is a super-2 number, since 2×215225213042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458812 + ... + 503540.

Almost surely, 221522521304 is an apocalyptic number.

21522521304 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 21522521304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30039773400).

21522521304 is an abundant number, since it is smaller than the sum of its proper divisors (38557025496).

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

21522521304 is a wasteful number, since it uses less digits than its factorization.

21522521304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44945 (or 44938 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 21522521304 in words is "twenty-one billion, five hundred twenty-two million, five hundred twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 163 164 246 326 328 369 489 492 652 738 978 984 1304 1467 1476 1956 2934 2952 3912 5868 6683 11736 13366 20049 26732 40098 44729 53464 60147 80196 89458 120294 134187 160392 178916 240588 268374 357832 402561 481176 536748 805122 1073496 1610244 1833889 3220488 3667778 5501667 7290827 7335556 11003334 14581654 14671112 16505001 21872481 22006668 29163308 33010002 43744962 44013336 58326616 65617443 66020004 87489924 131234886 132040008 174979848 262469772 298923907 524939544 597847814 896771721 1195695628 1793543442 2391391256 2690315163 3587086884 5380630326 7174173768 10761260652 21522521304