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21688674426 = 23317477092
BaseRepresentation
bin10100001100101111…
…101110100001111010
32001222112001211002000
4110030233232201322
5323404300040201
613544051321430
71365315455646
oct241457564172
961875054060
1021688674426
11921a767121
1242535b0276
1320784ba183
14109a69dc26
1586e133d86
hex50cbee87a

21688674426 has 96 divisors (see below), whose sum is σ = 52191578880. Its totient is φ = 6650125056.

The previous prime is 21688674421. The next prime is 21688674461. The reversal of 21688674426 is 62447688612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21688674421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30590160 + ... + 30590868.

It is an arithmetic number, because the mean of its divisors is an integer number (543662280).

Almost surely, 221688674426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21688674426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26095789440).

21688674426 is an abundant number, since it is smaller than the sum of its proper divisors (30502904454).

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

21688674426 is an equidigital number, since it uses as much as digits as its factorization.

21688674426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 778 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 21688674426 in words is "twenty-one billion, six hundred eighty-eight million, six hundred seventy-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 94 102 141 153 282 306 423 459 709 799 846 918 1269 1418 1598 2127 2397 2538 4254 4794 6381 7191 12053 12762 14382 19143 21573 24106 33323 36159 38286 43146 66646 72318 99969 108477 199938 216954 299907 325431 502681 566491 599814 650862 899721 1005362 1132982 1508043 1699473 1799442 3016086 3398946 4524129 5098419 8545577 9048258 10196838 13572387 15295257 17091154 23626007 25636731 27144774 30590514 47252014 51273462 70878021 76910193 141756042 153820386 212634063 230730579 401642119 425268126 461461158 637902189 803284238 1204926357 1275804378 2409852714 3614779071 7229558142 10844337213 21688674426