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21522512304 = 2432479312029
BaseRepresentation
bin10100000010110101…
…110111100110110000
32001112221101220111100
4110002311313212300
5323034230343204
613515354044400
71361230223166
oct240265674660
961487356440
1021522512304
119144996057
124207a19700
13204cc4c9a7
1410825a9236
1585e760a39
hex502d779b0

21522512304 has 60 divisors (see below), whose sum is σ = 60359083200. Its totient is φ = 7159170432.

The previous prime is 21522512303. The next prime is 21522512317. The reversal of 21522512304 is 40321522512.

It is not an unprimeable number, because it can be changed into a prime (21522512303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 87039 + ... + 224990.

It is an arithmetic number, because the mean of its divisors is an integer number (1005984720).

Almost surely, 221522512304 is an apocalyptic number.

21522512304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21522512304 is an abundant number, since it is smaller than the sum of its proper divisors (38836570896).

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

21522512304 is a wasteful number, since it uses less digits than its factorization.

21522512304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312522 (or 312513 counting only the distinct ones).

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

It can be divided in two parts, 215225 and 12304, that added together give a square (227529 = 4772).

The spelling of 21522512304 in words is "twenty-one billion, five hundred twenty-two million, five hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 479 958 1437 1916 2874 3832 4311 5748 7664 8622 11496 17244 22992 34488 68976 312029 624058 936087 1248116 1872174 2496232 2808261 3744348 4992464 5616522 7488696 11233044 14977392 22466088 44932176 149461891 298923782 448385673 597847564 896771346 1195695128 1345157019 1793542692 2391390256 2690314038 3587085384 5380628076 7174170768 10761256152 21522512304