Search a number
-
+
21602919264 = 253592737967
BaseRepresentation
bin10100000111101000…
…100110001101100000
32001202112201000002220
4110013220212031200
5323220321404024
613531345311040
71363224532623
oct240750461540
961675630086
1021602919264
119186314a93
12422a935480
1320637c3384
14108d139dba
15866844e79
hex507a26360

21602919264 has 48 divisors (see below), whose sum is σ = 56718724608. Its totient is φ = 7199568512.

The previous prime is 21602919263. The next prime is 21602919313. The reversal of 21602919264 is 46291920612.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×216029192642 (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 (21602919263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550009 + ... + 587975.

It is an arithmetic number, because the mean of its divisors is an integer number (1181640096).

Almost surely, 221602919264 is an apocalyptic number.

21602919264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21602919264 is an abundant number, since it is smaller than the sum of its proper divisors (35115805344).

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

21602919264 is a wasteful number, since it uses less digits than its factorization.

21602919264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43907 (or 43899 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 21602919264 in words is "twenty-one billion, six hundred two million, nine hundred nineteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5927 11854 17781 23708 35562 37967 47416 71124 75934 94832 113901 142248 151868 189664 227802 284496 303736 455604 568992 607472 911208 1214944 1822416 3644832 225030409 450060818 675091227 900121636 1350182454 1800243272 2700364908 3600486544 5400729816 7200973088 10801459632 21602919264