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21999512960 = 275101340339
BaseRepresentation
bin10100011111010001…
…011110110110000000
32002210011222001101022
4110133101132312000
5330023333403320
614034553525012
71406111526515
oct243721366600
962704861338
1021999512960
11936a173777
12431b713768
1320c7a113b9
1410c9a9530c
1588b584325
hex51f45ed80

21999512960 has 64 divisors (see below), whose sum is σ = 53113460400. Its totient is φ = 8712652800.

The previous prime is 21999512939. The next prime is 21999512981. The reversal of 21999512960 is 6921599912.

It is an interprime number because it is at equal distance from previous prime (21999512939) and next prime (21999512981).

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 105530 + ... + 234809.

Almost surely, 221999512960 is an apocalyptic number.

21999512960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21999512960 is an abundant number, since it is smaller than the sum of its proper divisors (31113947440).

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

21999512960 is a wasteful number, since it uses less digits than its factorization.

21999512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340459 (or 340447 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 53.

It can be divided in two parts, 2199 and 9512960, that added together give a palindrome (9515159).

The spelling of 21999512960 in words is "twenty-one billion, nine hundred ninety-nine million, five hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 320 404 505 640 808 1010 1616 2020 3232 4040 6464 8080 12928 16160 32320 64640 340339 680678 1361356 1701695 2722712 3403390 5445424 6806780 10890848 13613560 21781696 27227120 34374239 43563392 54454240 68748478 108908480 137496956 171871195 217816960 274993912 343742390 549987824 687484780 1099975648 1374969560 2199951296 2749939120 4399902592 5499878240 10999756480 21999512960