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21653443332 = 22323119798491
BaseRepresentation
bin10100001010101001…
…010101001100000100
32001220001202220002200
4110022221111030010
5323321240141312
613540352234500
71364410142253
oct241251251404
961801686080
1021653443332
119201893514
12424383ba30
132071103181
141095b2c79a
1586aec50dc
hex50aa55304

21653443332 has 72 divisors (see below), whose sum is σ = 56788123392. Its totient is φ = 6949454400.

The previous prime is 21653443319. The next prime is 21653443379. The reversal of 21653443332 is 23334435612.

21653443332 is a `hidden beast` number, since 2 + 165 + 34 + 433 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 170607 + ... + 269097.

It is an arithmetic number, because the mean of its divisors is an integer number (788723936).

Almost surely, 221653443332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21653443332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28394061696).

21653443332 is an abundant number, since it is smaller than the sum of its proper divisors (35134680060).

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

21653443332 is a wasteful number, since it uses less digits than its factorization.

21653443332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98729 (or 98724 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

Adding to 21653443332 its reverse (23334435612), we get a palindrome (44987878944).

The spelling of 21653443332 in words is "twenty-one billion, six hundred fifty-three million, four hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 197 279 372 394 558 591 788 1116 1182 1773 2364 3546 6107 7092 12214 18321 24428 36642 54963 73284 98491 109926 196982 219852 295473 393964 590946 886419 1181892 1772838 3053221 3545676 6106442 9159663 12212884 18319326 19402727 27478989 36638652 38805454 54957978 58208181 77610908 109915956 116416362 174624543 232832724 349249086 601484537 698498172 1202969074 1804453611 2405938148 3608907222 5413360833 7217814444 10826721666 21653443332