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10024940957 is a prime number
BaseRepresentation
bin10010101011000100…
…00111010110011101
3221212122200202200112
421111202013112131
5131012341102312
64334433135405
7503266410053
oct112542072635
927778622615
1010024940957
1142848aa579
121b393ba565
13c39c10835
146b15b61d3
153da187d22
hex25588759d

10024940957 has 2 divisors, whose sum is σ = 10024940958. Its totient is φ = 10024940956.

The previous prime is 10024940929. The next prime is 10024940963. The reversal of 10024940957 is 75904942001.

10024940957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7816504921 + 2208436036 = 88411^2 + 46994^2 .

It is a cyclic number.

It is not a de Polignac number, because 10024940957 - 212 = 10024936861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10024948957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5012470478 + 5012470479.

It is an arithmetic number, because the mean of its divisors is an integer number (5012470479).

Almost surely, 210024940957 is an apocalyptic number.

It is an amenable number.

10024940957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10024940957 is an equidigital number, since it uses as much as digits as its factorization.

10024940957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 10024940957 in words is "ten billion, twenty-four million, nine hundred forty thousand, nine hundred fifty-seven".