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21165246464 = 21127737309
BaseRepresentation
bin10011101101100011…
…000000100000000000
32000122001010220220012
4103231203000200000
5321321300341324
613420112404052
71346331424625
oct235543004000
960561126805
1021165246464
118a81258a2a
124128246628
131cc3c2159b
14104ad6a34c
1583d1de20e
hex4ed8c0800

21165246464 has 48 divisors (see below), whose sum is σ = 42474077100. Its totient is φ = 10544136192.

The previous prime is 21165246451. The next prime is 21165246481. The reversal of 21165246464 is 46464256112.

It can be written as a sum of positive squares in 2 ways, for example, as 20451288064 + 713958400 = 143008^2 + 26720^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 548642 + ... + 585950.

Almost surely, 221165246464 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 21165246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21237038550).

21165246464 is an abundant number, since it is smaller than the sum of its proper divisors (21308830636).

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

21165246464 is an equidigital number, since it uses as much as digits as its factorization.

21165246464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37608 (or 37588 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

The spelling of 21165246464 in words is "twenty-one billion, one hundred sixty-five million, two hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 277 512 554 1024 1108 2048 2216 4432 8864 17728 35456 37309 70912 74618 141824 149236 283648 298472 567296 596944 1193888 2387776 4775552 9551104 10334593 19102208 20669186 38204416 41338372 76408832 82676744 165353488 330706976 661413952 1322827904 2645655808 5291311616 10582623232 21165246464