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21329985329 = 136135294441
BaseRepresentation
bin10011110111010111…
…011011111100110001
32001001112010112010122
4103313113123330301
5322140434012304
613444315340025
71353401612102
oct236727337461
961045115118
1021329985329
119056247754
124173451615
13201c0b0cc3
141064bb03a9
1584c8d09be
hex4f75dbf31

21329985329 has 8 divisors (see below), whose sum is σ = 21356514120. Its totient is φ = 21303475200.

The previous prime is 21329985319. The next prime is 21329985451. The reversal of 21329985329 is 92358992312.

It can be written as a sum of positive squares in 4 ways, for example, as 144600625 + 21185384704 = 12025^2 + 145552^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21329985329 - 28 = 21329985073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21329985319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4800749 + ... + 4805189.

It is an arithmetic number, because the mean of its divisors is an integer number (2669564265).

Almost surely, 221329985329 is an apocalyptic number.

It is an amenable number.

21329985329 is a deficient number, since it is larger than the sum of its proper divisors (26528791).

21329985329 is a wasteful number, since it uses less digits than its factorization.

21329985329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9331.

The product of its digits is 2099520, while the sum is 53.

The spelling of 21329985329 in words is "twenty-one billion, three hundred twenty-nine million, nine hundred eighty-five thousand, three hundred twenty-nine".

Divisors: 1 1361 3529 4441 4802969 6044201 15672289 21329985329