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21356465312 = 2571343170557
BaseRepresentation
bin10011111000111100…
…011100110010100000
32001010100221211211202
4103320330130302200
5322214223342222
613451103100332
71354142650160
oct237074346240
961110854752
1021356465312
11906a193536
1241802a16a8
132024722a30
1410685045a0
1584edb1892
hex4f8f1cca0

21356465312 has 96 divisors (see below), whose sum is σ = 52952118912. Its totient is φ = 8252181504.

The previous prime is 21356465309. The next prime is 21356465327.

21356465312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213564653122 (a number of 21 digits) contains 22 as substring.

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, 39938 + ... + 210494.

It is an arithmetic number, because the mean of its divisors is an integer number (551584572).

Almost surely, 221356465312 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 21356465312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26476059456).

21356465312 is an abundant number, since it is smaller than the sum of its proper divisors (31595653600).

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

21356465312 is a wasteful number, since it uses less digits than its factorization.

21356465312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170630 (or 170622 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The spelling of 21356465312 in words is "twenty-one billion, three hundred fifty-six million, four hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 43 52 56 86 91 104 112 172 182 208 224 301 344 364 416 559 602 688 728 1118 1204 1376 1456 2236 2408 2912 3913 4472 4816 7826 8944 9632 15652 17888 31304 62608 125216 170557 341114 682228 1193899 1364456 2217241 2387798 2728912 4434482 4775596 5457824 7333951 8868964 9551192 14667902 15520687 17737928 19102384 29335804 31041374 35475856 38204768 51337657 58671608 62082748 70951712 95341363 102675314 117343216 124165496 190682726 205350628 234686432 248330992 381365452 410701256 496661984 667389541 762730904 821402512 1334779082 1525461808 1642805024 2669558164 3050923616 5339116328 10678232656 21356465312