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21300550864 = 2431437313681
BaseRepresentation
bin10011110101100111…
…001001110011010000
32000222110202002122021
4103311213021303100
5322110420111424
613441344421224
71352563460245
oct236547116320
960873662567
1021300550864
11904067314a
124165617814
132015c76568
141060d0b5cc
1584a0194e4
hex4f59c9cd0

21300550864 has 80 divisors (see below), whose sum is σ = 44192203264. Its totient is φ = 9928396800.

The previous prime is 21300550829. The next prime is 21300550867. The reversal of 21300550864 is 46805500312.

It is a super-2 number, since 2×213005508642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300550867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1550104 + ... + 1563784.

Almost surely, 221300550864 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 21300550864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22096101632).

21300550864 is an abundant number, since it is smaller than the sum of its proper divisors (22891652400).

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

21300550864 is a wasteful number, since it uses less digits than its factorization.

21300550864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13836 (or 13830 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 21300550864 in words is "twenty-one billion, three hundred million, five hundred fifty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 31 43 62 73 86 124 146 172 248 292 344 496 584 688 1168 1333 2263 2666 3139 4526 5332 6278 9052 10664 12556 13681 18104 21328 25112 27362 36208 50224 54724 97309 109448 194618 218896 389236 424111 588283 778472 848222 998713 1176566 1556944 1696444 1997426 2353132 3392888 3994852 4706264 6785776 7989704 9412528 15979408 18236773 30960103 36473546 42944659 61920206 72947092 85889318 123840412 145894184 171778636 247680824 291788368 343557272 495361648 687114544 1331284429 2662568858 5325137716 10650275432 21300550864