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21893049369 = 32312372432
BaseRepresentation
bin10100011000111011…
…010110110000011001
32002111202122010210100
4110120323112300121
5324314110034434
614020232010013
71403346564162
oct243073266031
962452563710
1021893049369
119315068034
1242abb30909
1320ab9468a9
1410b98a0769
15882054699
hex518ed6c19

21893049369 has 81 divisors (see below), whose sum is σ = 34382488959. Its totient is φ = 13423203360.

The previous prime is 21893049341. The next prime is 21893049371. The reversal of 21893049369 is 96394039812.

The square root of 21893049369 is 147963.

It is a perfect power (a square), and thus also a powerful number.

21893049369 is a `hidden beast` number, since 2 + 1 + 8 + 93 + 0 + 493 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19590201225 + 2302848144 = 139965^2 + 47988^2 .

It is not a de Polignac number, because 21893049369 - 25 = 21893049337 is a prime.

It is a super-2 number, since 2×218930493692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21893049319) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 509140662 + ... + 509140704.

Almost surely, 221893049369 is an apocalyptic number.

21893049369 is the 147963-rd square number.

21893049369 is the 73982-nd centered octagonal number.

It is an amenable number.

21893049369 is a deficient number, since it is larger than the sum of its proper divisors (12489439590).

21893049369 is an equidigital number, since it uses as much as digits as its factorization.

21893049369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 21893049369 in words is "twenty-one billion, eight hundred ninety-three million, forty-nine thousand, three hundred sixty-nine".

Divisors: 1 3 9 31 37 43 93 111 129 279 333 387 961 1147 1333 1369 1591 1849 2883 3441 3999 4107 4773 5547 8649 10323 11997 12321 14319 16641 35557 41323 42439 49321 57319 58867 68413 106671 123969 127317 147963 171957 176601 205239 320013 371907 381951 443889 515871 529803 615717 1315609 1528951 1776889 1824877 2120803 2531281 3946827 4586853 5330667 5474631 6362409 7593843 11840481 13760559 15992001 16423893 19087227 22781529 56571187 65744893 78469711 169713561 197234679 235409133 509140683 591704037 706227399 2432561041 7297683123 21893049369