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21952189588 = 2273161341257
BaseRepresentation
bin10100011100011100…
…111101010010010100
32002122212220202220211
4110130130331102110
5324424230031323
614030143335204
71404665350510
oct243434752224
962585822824
1021952189588
119345490a4a
1243078b1504
1320bac823c4
1410c3697140
1588733770d
hex51c73d494

21952189588 has 48 divisors (see below), whose sum is σ = 45395682304. Its totient is φ = 9089521920.

The previous prime is 21952189547. The next prime is 21952189627. The reversal of 21952189588 is 88598125912.

It is a super-3 number, since 3×219521895883 (a number of 32 digits) contains 333 as substring.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 511456 + ... + 552712.

Almost surely, 221952189588 is an apocalyptic number.

21952189588 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21952189588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22697841152).

21952189588 is an abundant number, since it is smaller than the sum of its proper divisors (23443492716).

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

21952189588 is a wasteful number, since it uses less digits than its factorization.

21952189588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41912 (or 41910 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 58.

The spelling of 21952189588 in words is "twenty-one billion, nine hundred fifty-two million, one hundred eighty-nine thousand, five hundred eighty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 613 868 1226 2452 4291 8582 17164 19003 38006 41257 76012 82514 133021 165028 266042 288799 532084 577598 1155196 1278967 2557934 5115868 8952769 17905538 25290541 35811076 50581082 101162164 177033787 354067574 708135148 784006771 1568013542 3136027084 5488047397 10976094794 21952189588