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21605506304 = 28101835609
BaseRepresentation
bin10100000111110010…
…011101110100000000
32001202201120102212012
4110013302131310000
5323222002200204
613531520552052
71363255526204
oct240762356400
961681512765
1021605506304
119187821738
12422b782628
1320641baa75
14108d610b04
15866ba676e
hex507c9dd00

21605506304 has 36 divisors (see below), whose sum is σ = 43553664420. Its totient is φ = 10695782400.

The previous prime is 21605506303. The next prime is 21605506333. The reversal of 21605506304 is 40360550612.

It can be written as a sum of positive squares in 2 ways, for example, as 16294011904 + 5311494400 = 127648^2 + 72880^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21605506303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 391949 + ... + 443660.

Almost surely, 221605506304 is an apocalyptic number.

It is an amenable number.

21605506304 is an abundant number, since it is smaller than the sum of its proper divisors (21948158116).

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

21605506304 is an equidigital number, since it uses as much as digits as its factorization.

21605506304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835726 (or 835712 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 21605506304 in words is "twenty-one billion, six hundred five million, five hundred six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1616 3232 6464 12928 25856 835609 1671218 3342436 6684872 13369744 26739488 53478976 84396509 106957952 168793018 213915904 337586036 675172072 1350344144 2700688288 5401376576 10802753152 21605506304