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10174735993 is a prime number
BaseRepresentation
bin10010111100111011…
…00010011001111001
3222021002120010211211
421132131202121321
5131314213022433
64401343523121
7510065554222
oct113635423171
928232503754
1010174735993
114351411824
121b7b5b94a1
13c61c6a356
146c744a249
153e83c68cd
hex25e762679

10174735993 has 2 divisors, whose sum is σ = 10174735994. Its totient is φ = 10174735992.

The previous prime is 10174735969. The next prime is 10174736009. The reversal of 10174735993 is 39953747101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8059011984 + 2115724009 = 89772^2 + 45997^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10174735993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10174735903) 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, 5087367996 + 5087367997.

It is an arithmetic number, because the mean of its divisors is an integer number (5087367997).

Almost surely, 210174735993 is an apocalyptic number.

It is an amenable number.

10174735993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10174735993 is an equidigital number, since it uses as much as digits as its factorization.

10174735993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 714420, while the sum is 49.

The spelling of 10174735993 in words is "ten billion, one hundred seventy-four million, seven hundred thirty-five thousand, nine hundred ninety-three".