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20518672000 = 27531282417
BaseRepresentation
bin10011000111000000…
…100001011010000000
31221221222111112110211
4103013000201122000
5314010240001000
613232014203504
71324320556111
oct230700413200
957858445424
1020518672000
11877a289a72
123b877b3594
131c1cc99848
14dc913c208
158015717ba
hex4c7021680

20518672000 has 64 divisors (see below), whose sum is σ = 51014588040. Its totient is φ = 8207462400.

The previous prime is 20518671989. The next prime is 20518672007. The reversal of 20518672000 is 27681502.

It can be written as a sum of positive squares in 4 ways, for example, as 6460301376 + 14058370624 = 80376^2 + 118568^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20518672007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625209 + ... + 657208.

Almost surely, 220518672000 is an apocalyptic number.

20518672000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20518672000 is an abundant number, since it is smaller than the sum of its proper divisors (30495916040).

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

20518672000 is an equidigital number, since it uses as much as digits as its factorization.

20518672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282446 (or 1282424 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 20518672000 in words is "twenty billion, five hundred eighteen million, six hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 1282417 2564834 5129668 6412085 10259336 12824170 20518672 25648340 32060425 41037344 51296680 64120850 82074688 102593360 128241700 160302125 164149376 205186720 256483400 320604250 410373440 512966800 641208500 820746880 1025933600 1282417000 2051867200 2564834000 4103734400 5129668000 10259336000 20518672000