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21640478688 = 2532149504299
BaseRepresentation
bin10100001001110111…
…110111111111100000
32001212011101012221200
4110021313313333200
5323304430304223
613535210321200
71364162014413
oct241167677740
961764335850
1021640478688
1191a5538a34
12423b429200
13206b51409a
141094115b7a
15869cb3a43
hex509df7fe0

21640478688 has 72 divisors (see below), whose sum is σ = 61953255000. Its totient is φ = 7165065984.

The previous prime is 21640478647. The next prime is 21640478737. The reversal of 21640478688 is 88687404612.

21640478688 is a `hidden beast` number, since 2 + 164 + 0 + 478 + 6 + 8 + 8 = 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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209238 + ... + 295061.

It is an arithmetic number, because the mean of its divisors is an integer number (860461875).

Almost surely, 221640478688 is an apocalyptic number.

It is an amenable number.

21640478688 is an abundant number, since it is smaller than the sum of its proper divisors (40312776312).

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

21640478688 is a wasteful number, since it uses less digits than its factorization.

21640478688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504464 (or 504453 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 21640478688 in words is "twenty-one billion, six hundred forty million, four hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 596 894 1192 1341 1788 2384 2682 3576 4768 5364 7152 10728 14304 21456 42912 504299 1008598 1512897 2017196 3025794 4034392 4538691 6051588 8068784 9077382 12103176 16137568 18154764 24206352 36309528 48412704 72619056 75140551 145238112 150281102 225421653 300562204 450843306 601124408 676264959 901686612 1202248816 1352529918 1803373224 2404497632 2705059836 3606746448 5410119672 7213492896 10820239344 21640478688