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21678171648 = 29372016199
BaseRepresentation
bin10100001100000111…
…101010011000000000
32001221210022012222020
4110030013222120000
5323344102443043
613543034241440
71365130263420
oct241407523000
961853265866
1021678171648
119214843241
12424bb86280
132076280803
141099128480
1586d25be83
hex50c1ea600

21678171648 has 80 divisors (see below), whose sum is σ = 66002323200. Its totient is φ = 6193760256.

The previous prime is 21678171607. The next prime is 21678171649. The reversal of 21678171648 is 84617187612.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21678171648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21678171649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 997348 + ... + 1018851.

It is an arithmetic number, because the mean of its divisors is an integer number (825029040).

Almost surely, 221678171648 is an apocalyptic number.

21678171648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21678171648 is an abundant number, since it is smaller than the sum of its proper divisors (44324151552).

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

21678171648 is an equidigital number, since it uses as much as digits as its factorization.

21678171648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016227 (or 2016211 counting only the distinct ones).

The product of its digits is 903168, while the sum is 51.

The spelling of 21678171648 in words is "twenty-one billion, six hundred seventy-eight million, one hundred seventy-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 2016199 4032398 6048597 8064796 12097194 14113393 16129592 24194388 28226786 32259184 42340179 48388776 56453572 64518368 84680358 96777552 112907144 129036736 169360716 193555104 225814288 258073472 338721432 387110208 451628576 516146944 677442864 774220416 903257152 1032293888 1354885728 1548440832 1806514304 2709771456 3096881664 3613028608 5419542912 7226057216 10839085824 21678171648