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20445986016 = 2532312290097
BaseRepresentation
bin10011000010101011…
…001111110011100000
31221202220201201001100
4103002223033303200
5313333133023031
613220500234400
71322446004451
oct230253176340
957686651040
1020445986016
118742253a05
123b6739ba00
131c0abca5a1
14dbd61b128
157e9eb4de6
hex4c2acfce0

20445986016 has 72 divisors (see below), whose sum is σ = 60018888384. Its totient is φ = 6595476480.

The previous prime is 20445985997. The next prime is 20445986081. The reversal of 20445986016 is 61068954402.

20445986016 is a `hidden beast` number, since 2 + 0 + 44 + 598 + 6 + 0 + 16 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 1136121 + ... + 1153976.

It is an arithmetic number, because the mean of its divisors is an integer number (833595672).

Almost surely, 220445986016 is an apocalyptic number.

It is an amenable number.

20445986016 is an abundant number, since it is smaller than the sum of its proper divisors (39572902368).

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

20445986016 is a wasteful number, since it uses less digits than its factorization.

20445986016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290144 (or 2290133 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20445986016 in words is "twenty billion, four hundred forty-five million, nine hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 2290097 4580194 6870291 9160388 13740582 18320776 20610873 27481164 36641552 41221746 54962328 70993007 73283104 82443492 109924656 141986014 164886984 212979021 219849312 283972028 329773968 425958042 567944056 638937063 659547936 851916084 1135888112 1277874126 1703832168 2271776224 2555748252 3407664336 5111496504 6815328672 10222993008 20445986016