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10459249921 is a prime number
BaseRepresentation
bin10011011110110101…
…10111110100000001
3222222220220221120201
421233122313310001
5132410031444141
64445510005201
7520122105001
oct115732676401
928886827521
1010459249921
114487a792aa
12203a946801
13ca8ba54a3
1471314c001
15413377031
hex26f6b7d01

10459249921 has 2 divisors, whose sum is σ = 10459249922. Its totient is φ = 10459249920.

The previous prime is 10459249919. The next prime is 10459250083. The reversal of 10459249921 is 12994295401.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8570130625 + 1889119296 = 92575^2 + 43464^2 .

It is a cyclic number.

It is not a de Polignac number, because 10459249921 - 21 = 10459249919 is a prime.

Together with 10459249919, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10459249901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5229624960 + 5229624961.

It is an arithmetic number, because the mean of its divisors is an integer number (5229624961).

Almost surely, 210459249921 is an apocalyptic number.

It is an amenable number.

10459249921 is a deficient number, since it is larger than the sum of its proper divisors (1).

10459249921 is an equidigital number, since it uses as much as digits as its factorization.

10459249921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 10459249921 in words is "ten billion, four hundred fifty-nine million, two hundred forty-nine thousand, nine hundred twenty-one".