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21945066264 = 2334112279883
BaseRepresentation
bin10100011100000001…
…110010001100011000
32002122101111212120000
4110130001302030120
5324420414110024
614025330533000
71404550662012
oct243401621430
962571455500
1021945066264
119341466100
124305437160
1320b965a014
1410c27611b2
158868cbcc9
hex51c072318

21945066264 has 120 divisors (see below), whose sum is σ = 67562598180. Its totient is φ = 6649996320.

The previous prime is 21945066259. The next prime is 21945066277. The reversal of 21945066264 is 46266054912.

21945066264 is a `hidden beast` number, since 2 + 19 + 4 + 5 + 0 + 6 + 626 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 61534 + ... + 218349.

Almost surely, 221945066264 is an apocalyptic number.

21945066264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21945066264 is an abundant number, since it is smaller than the sum of its proper divisors (45617531916).

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

21945066264 is a wasteful number, since it uses less digits than its factorization.

21945066264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279923 (or 279899 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 21945066264 in words is "twenty-one billion, nine hundred forty-five million, sixty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 264 297 324 363 396 484 594 648 726 792 891 968 1089 1188 1452 1782 2178 2376 2904 3267 3564 4356 6534 7128 8712 9801 13068 19602 26136 39204 78408 279883 559766 839649 1119532 1679298 2239064 2518947 3078713 3358596 5037894 6157426 6717192 7556841 9236139 10075788 12314852 15113682 18472278 20151576 22670523 24629704 27708417 30227364 33865843 36944556 45341046 55416834 60454728 67731686 73889112 83125251 90682092 101597529 110833668 135463372 166250502 181364184 203195058 221667336 249375753 270926744 304792587 332501004 406390116 498751506 609585174 665002008 812780232 914377761 997503012 1219170348 1828755522 1995006024 2438340696 2743133283 3657511044 5486266566 7315022088 10972533132 21945066264