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10758131749 is a prime number
BaseRepresentation
bin10100000010011110…
…00001000000100101
31000202202022201101001
422001033001000211
5134013040203444
64535304033301
7530411416411
oct120117010045
930682281331
1010758131749
114620759682
122102a62831
131025aa1341
14740b0dd41
1542e7148d4
hex2813c1025

10758131749 has 2 divisors, whose sum is σ = 10758131750. Its totient is φ = 10758131748.

The previous prime is 10758131719. The next prime is 10758131767. The reversal of 10758131749 is 94713185701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5981939649 + 4776192100 = 77343^2 + 69110^2 .

It is a cyclic number.

It is not a de Polignac number, because 10758131749 - 217 = 10758000677 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10758131699 and 10758131708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10758131719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5379065874 + 5379065875.

It is an arithmetic number, because the mean of its divisors is an integer number (5379065875).

Almost surely, 210758131749 is an apocalyptic number.

It is an amenable number.

10758131749 is a deficient number, since it is larger than the sum of its proper divisors (1).

10758131749 is an equidigital number, since it uses as much as digits as its factorization.

10758131749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 46.

The spelling of 10758131749 in words is "ten billion, seven hundred fifty-eight million, one hundred thirty-one thousand, seven hundred forty-nine".