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21527292320 = 255507726501
BaseRepresentation
bin10100000011001000…
…000110100110100000
32001120021101202102222
4110003020012212200
5323041441323240
613520044330212
71361315652122
oct240310064640
961507352388
1021527292320
119147660386
124209543968
132050c345c1
141083091212
1585eda6eb5
hex5032069a0

21527292320 has 48 divisors (see below), whose sum is σ = 50870164968. Its totient is φ = 8608896000.

The previous prime is 21527292317. The next prime is 21527292329. The reversal of 21527292320 is 2329272512.

It can be written as a sum of positive squares in 4 ways, for example, as 20365573264 + 1161719056 = 142708^2 + 34084^2 .

It is not an unprimeable number, because it can be changed into a prime (21527292329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 799070 + ... + 825570.

Almost surely, 221527292320 is an apocalyptic number.

21527292320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21527292320 is an abundant number, since it is smaller than the sum of its proper divisors (29342872648).

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

21527292320 is a wasteful number, since it uses less digits than its factorization.

21527292320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31593 (or 31585 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 21527292320 in words is "twenty-one billion, five hundred twenty-seven million, two hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 5077 10154 20308 25385 26501 40616 50770 53002 81232 101540 106004 132505 162464 203080 212008 265010 406160 424016 530020 812320 848032 1060040 2120080 4240160 134545577 269091154 538182308 672727885 1076364616 1345455770 2152729232 2690911540 4305458464 5381823080 10763646160 21527292320