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21945986426 = 27213173132687
BaseRepresentation
bin10100011100000101…
…010010110101111010
32002122110020121210002
4110130011102311322
5324421133031201
614025402353002
71404561543500
oct243405226572
962573217702
1021945986426
119341a34471
1243057bb762
1320b98bcab0
1410c2920670
15886a0e76b
hex51c152d7a

21945986426 has 96 divisors (see below), whose sum is σ = 45074921472. Its totient is φ = 7907397120.

The previous prime is 21945986417. The next prime is 21945986431. The reversal of 21945986426 is 62468954912.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655055 + ... + 687741.

It is an arithmetic number, because the mean of its divisors is an integer number (469530432).

Almost surely, 221945986426 is an apocalyptic number.

21945986426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

21945986426 is an abundant number, since it is smaller than the sum of its proper divisors (23128935046).

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

21945986426 is a wasteful number, since it uses less digits than its factorization.

21945986426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32764 (or 32757 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 56.

The spelling of 21945986426 in words is "twenty-one billion, nine hundred forty-five million, nine hundred eighty-six thousand, four hundred twenty-six".

Divisors: 1 2 7 13 14 17 26 31 34 49 62 91 98 119 182 217 221 238 403 434 442 527 637 806 833 1054 1274 1519 1547 1666 2821 3038 3094 3689 5642 6851 7378 10829 13702 19747 21658 25823 32687 39494 47957 51646 65374 95914 228809 335699 424931 457618 555679 671398 849862 1013297 1111358 1601663 2026594 2974517 3203326 3889753 5949034 7093079 7223827 7779506 13172861 14186158 14447654 17226049 20821619 26345722 27228271 34452098 41643238 49651553 50566789 54456542 92210027 99303106 101133578 120582343 184420054 223938637 241164686 353967523 447877274 645470189 707935046 844076401 1290940378 1567570459 1688152802 3135140918 10972993213 21945986426