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20640864384 = 273272559631
BaseRepresentation
bin10011001110010010…
…101001100010000000
31222021111102112220200
4103032102221202000
5314233030130014
613252101205200
71330333311120
oct231622514200
958244375820
1020640864384
118832258a08
124000700800
131c3c3b062a
14ddb468c80
1580c15ba09
hex4ce4a9880

20640864384 has 96 divisors (see below), whose sum is σ = 67881440640. Its totient is φ = 5897387520.

The previous prime is 20640864383. The next prime is 20640864403. The reversal of 20640864384 is 48346804602.

20640864384 is a `hidden beast` number, since 206 + 4 + 0 + 8 + 6 + 438 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (20640864383) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1271752 + ... + 1287879.

It is an arithmetic number, because the mean of its divisors is an integer number (707098340).

Almost surely, 220640864384 is an apocalyptic number.

20640864384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20640864384 is an abundant number, since it is smaller than the sum of its proper divisors (47240576256).

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

20640864384 is a wasteful number, since it uses less digits than its factorization.

20640864384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559658 (or 2559643 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 20640864384 in words is "twenty billion, six hundred forty million, eight hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 2559631 5119262 7678893 10238524 15357786 17917417 20477048 23036679 30715572 35834834 40954096 46073358 53752251 61431144 71669668 81908192 92146716 107504502 122862288 143339336 161256753 163816384 184293432 215009004 245724576 286678672 322513506 327632768 368586864 430018008 491449152 573357344 645027012 737173728 860036016 982898304 1146714688 1290054024 1474347456 1720072032 2293429376 2580108048 2948694912 3440144064 5160216096 6880288128 10320432192 20640864384