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21526340993 is a prime number
BaseRepresentation
bin10100000011000100…
…011110010110000001
32001120012121102110122
4110003010132112001
5323041220402433
613520012110025
71361304610433
oct240304362601
961505542418
1021526340993
119147070663
124209165315
1320509905a1
141082cc4653
1585ec6a198
hex50311e581

21526340993 has 2 divisors, whose sum is σ = 21526340994. Its totient is φ = 21526340992.

The previous prime is 21526340923. The next prime is 21526341017. The reversal of 21526340993 is 39904362512.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21096691009 + 429649984 = 145247^2 + 20728^2 .

It is a cyclic number.

It is not a de Polignac number, because 21526340993 - 216 = 21526275457 is a prime.

It is not a weakly prime, because it can be changed into another prime (21526340923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10763170496 + 10763170497.

It is an arithmetic number, because the mean of its divisors is an integer number (10763170497).

Almost surely, 221526340993 is an apocalyptic number.

It is an amenable number.

21526340993 is a deficient number, since it is larger than the sum of its proper divisors (1).

21526340993 is an equidigital number, since it uses as much as digits as its factorization.

21526340993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 349920, while the sum is 44.

The spelling of 21526340993 in words is "twenty-one billion, five hundred twenty-six million, three hundred forty thousand, nine hundred ninety-three".