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21627076672 = 2610111812833
BaseRepresentation
bin10100001001000100…
…110000000001000000
32001211020011022211201
4110021010300001000
5323243012423142
613534011150544
71363640055445
oct241104600100
961736138751
1021627076672
119198a14893
124236a45454
132068800bb6
1410924279cc
15868a17ab7
hex509130040

21627076672 has 56 divisors (see below), whose sum is σ = 43393153752. Its totient is φ = 10693632000.

The previous prime is 21627076657. The next prime is 21627076693. The reversal of 21627076672 is 27667072612.

It can be written as a sum of positive squares in 4 ways, for example, as 12810617856 + 8816458816 = 113184^2 + 93896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7632568 + ... + 7635400.

Almost surely, 221627076672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21627076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21696576876).

21627076672 is an abundant number, since it is smaller than the sum of its proper divisors (21766077080).

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

21627076672 is a wasteful number, since it uses less digits than its factorization.

21627076672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The spelling of 21627076672 in words is "twenty-one billion, six hundred twenty-seven million, seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1181 1616 2362 2833 3232 4724 5666 6464 9448 11332 18896 22664 37792 45328 75584 90656 119281 181312 238562 286133 477124 572266 954248 1144532 1908496 2289064 3345773 3816992 4578128 6691546 7633984 9156256 13383092 18312512 26766184 53532368 107064736 214129472 337923073 675846146 1351692292 2703384584 5406769168 10813538336 21627076672