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20641864560 = 243586007769
BaseRepresentation
bin10011001110010110…
…011101101101110000
31222021120022100220020
4103032112131231300
5314233304131220
613252134443440
71330344645102
oct231626355560
958246270806
1020641864560
1188328813a9
124000b03580
131c3c670955
14ddb649572
1580c2a8040
hex4ce59db70

20641864560 has 40 divisors (see below), whose sum is σ = 63989780880. Its totient is φ = 5504497152.

The previous prime is 20641864543. The next prime is 20641864571. The reversal of 20641864560 is 6546814602.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43003645 + ... + 43004124.

It is an arithmetic number, because the mean of its divisors is an integer number (1599744522).

Almost surely, 220641864560 is an apocalyptic number.

20641864560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20641864560 is an abundant number, since it is smaller than the sum of its proper divisors (43347916320).

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

20641864560 is a wasteful number, since it uses less digits than its factorization.

20641864560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86007785 (or 86007779 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 20641864560 in words is "twenty billion, six hundred forty-one million, eight hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 86007769 172015538 258023307 344031076 430038845 516046614 688062152 860077690 1032093228 1290116535 1376124304 1720155380 2064186456 2580233070 3440310760 4128372912 5160466140 6880621520 10320932280 20641864560