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21252683089 = 1122924572
BaseRepresentation
bin10011110010110000…
…100011010101010001
32000212010200011101201
4103302300203111101
5322011141324324
613432514431201
71351442553121
oct236260432521
960763604351
1021252683089
119016649400
124151592501
132009086831
14105880ac81
15845c11444
hex4f2c23551

21252683089 has 27 divisors (see below), whose sum is σ = 24246750801. Its totient is φ = 18613573440.

The previous prime is 21252683083. The next prime is 21252683107. The reversal of 21252683089 is 98038625212.

The square root of 21252683089 is 145783.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3747276225 + 17505406864 = 61215^2 + 132308^2 .

It is not a de Polignac number, because 21252683089 - 217 = 21252552017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21252683083) 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, 46504549 + ... + 46505005.

Almost surely, 221252683089 is an apocalyptic number.

21252683089 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

21252683089 is the 145783-rd square number.

21252683089 is the 72892-nd centered octagonal number.

It is an amenable number.

21252683089 is a deficient number, since it is larger than the sum of its proper divisors (2994067712).

21252683089 is an frugal number, since it uses more digits than its factorization.

21252683089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 21252683089 in words is "twenty-one billion, two hundred fifty-two million, six hundred eighty-three thousand, eighty-nine".

Divisors: 1 11 29 121 319 457 841 3509 5027 9251 13253 55297 101761 145783 208849 384337 1603613 2297339 4227707 6056621 25270729 46504777 66622831 175642009 732851141 1932062099 21252683089