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21646740096 = 273218790573
BaseRepresentation
bin10100001010001111…
…110000101010000000
32001212121011022222200
4110022033300222000
5323313031140341
613535552433200
71364266153302
oct241217605200
961777138880
1021646740096
1191a9025253
124241548800
13206c8c7067
141094ca5972
1586a5eddb6
hex50a3f0a80

21646740096 has 48 divisors (see below), whose sum is σ = 62290752810. Its totient is φ = 7215579648.

The previous prime is 21646740083. The next prime is 21646740107. The reversal of 21646740096 is 69004764612.

It can be written as a sum of positive squares in only one way, i.e., 12481358400 + 9165381696 = 111720^2 + 95736^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9394135 + ... + 9396438.

Almost surely, 221646740096 is an apocalyptic number.

It is an amenable number.

21646740096 is an abundant number, since it is smaller than the sum of its proper divisors (40644012714).

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

21646740096 is a wasteful number, since it uses less digits than its factorization.

21646740096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18790593 (or 18790578 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 21646740096 in words is "twenty-one billion, six hundred forty-six million, seven hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 18790573 37581146 56371719 75162292 112743438 150324584 169115157 225486876 300649168 338230314 450973752 601298336 676460628 901947504 1202596672 1352921256 1803895008 2405193344 2705842512 3607790016 5411685024 7215580032 10823370048 21646740096