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21575759904 = 253294179613
BaseRepresentation
bin10100000110000000…
…111111100000100000
32001200122121011110200
4110012000333200200
5323141343304104
613524535225200
71362444635046
oct240600774040
961618534420
1021575759904
119171a54836
124221818200
13205aca434a
1410896aa396
1586427cb39
hex50603f820

21575759904 has 72 divisors (see below), whose sum is σ = 61422041772. Its totient is φ = 7184186880.

The previous prime is 21575759897. The next prime is 21575759917. The reversal of 21575759904 is 40995757512.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19446860304 + 2128899600 = 139452^2 + 46140^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231202 + ... + 310814.

Almost surely, 221575759904 is an apocalyptic number.

21575759904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21575759904 is an abundant number, since it is smaller than the sum of its proper divisors (39846281868).

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

21575759904 is a wasteful number, since it uses less digits than its factorization.

21575759904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80570 (or 80559 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 21575759904 in words is "twenty-one billion, five hundred seventy-five million, seven hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 941 1882 2823 3764 5646 7528 8469 11292 15056 16938 22584 30112 33876 45168 67752 79613 90336 135504 159226 238839 271008 318452 477678 636904 716517 955356 1273808 1433034 1910712 2547616 2866068 3821424 5732136 7642848 11464272 22928544 74915833 149831666 224747499 299663332 449494998 599326664 674242497 898989996 1198653328 1348484994 1797979992 2397306656 2696969988 3595959984 5393939976 7191919968 10787879952 21575759904