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10254768973 is a prime number
BaseRepresentation
bin10011000110011101…
…10101101101001101
3222110200011020110021
421203032311231031
5132000210101343
64413323142141
7512060045431
oct114316655515
928420136407
1010254768973
114392605789
121ba2374951
13c7570c747
146d3d209c1
154004350ed
hex2633b5b4d

10254768973 has 2 divisors, whose sum is σ = 10254768974. Its totient is φ = 10254768972.

The previous prime is 10254768919. The next prime is 10254768989. The reversal of 10254768973 is 37986745201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6022225609 + 4232543364 = 77603^2 + 65058^2 .

It is a cyclic number.

It is not a de Polignac number, because 10254768973 - 225 = 10221214541 is a prime.

It is a super-3 number, since 3×102547689733 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10254768973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10254768913) 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, 5127384486 + 5127384487.

It is an arithmetic number, because the mean of its divisors is an integer number (5127384487).

It is a 1-persistent number, because it is pandigital, but 2⋅10254768973 = 20509537946 is not.

Almost surely, 210254768973 is an apocalyptic number.

It is an amenable number.

10254768973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10254768973 is an equidigital number, since it uses as much as digits as its factorization.

10254768973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 10254768973 in words is "ten billion, two hundred fifty-four million, seven hundred sixty-eight thousand, nine hundred seventy-three".