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21549359209 = 726723132
BaseRepresentation
bin10100000100011100…
…010010000001101001
32001121210220212112011
4110010130102001221
5323113113443314
613522153315521
71362004350100
oct240434220151
961553825464
1021549359209
119159062584
124214a05ba1
13205568c731
141085d97037
15861cb54c4
hex504712069

21549359209 has 27 divisors (see below), whose sum is σ = 25528910967. Its totient is φ = 18137062944.

The previous prime is 21549359197. The next prime is 21549359269. The reversal of 21549359209 is 90295394512.

The square root of 21549359209 is 146797.

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

It can be written as a sum of positive squares in only one way, i.e., 137475625 + 21411883584 = 11725^2 + 146328^2 .

It is not a de Polignac number, because 21549359209 - 27 = 21549359081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (21549359269) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68847637 + ... + 68847949.

It is an arithmetic number, because the mean of its divisors is an integer number (945515221).

Almost surely, 221549359209 is an apocalyptic number.

21549359209 is the 146797-th square number.

21549359209 is the 73399-th centered octagonal number.

It is an amenable number.

21549359209 is a deficient number, since it is larger than the sum of its proper divisors (3979551758).

21549359209 is an frugal number, since it uses more digits than its factorization.

21549359209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 49.

Multiplying 21549359209 by its sum of digits (49), we get a square (1055918601241 = 10275792).

21549359209 divided by its sum of digits (49) gives a square (439782841 = 209712).

The spelling of 21549359209 in words is "twenty-one billion, five hundred forty-nine million, three hundred fifty-nine thousand, two hundred nine".

Divisors: 1 7 49 67 313 469 2191 3283 4489 15337 20971 31423 97969 146797 219961 685783 1027579 1405057 4800481 6563923 9835399 45947461 68847793 321632227 439782841 3078479887 21549359209