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10144151749 is a prime number
BaseRepresentation
bin10010111001010001…
…10111100011000101
3222011222000022011001
421130220313203011
5131233400323444
64354332213301
7506244603304
oct113450674305
928158008131
1010144151749
114336122396
121b7130a231
13c5881c474
146c336843b
153e58848d4
hex25ca378c5

10144151749 has 2 divisors, whose sum is σ = 10144151750. Its totient is φ = 10144151748.

The previous prime is 10144151747. The next prime is 10144151777. The reversal of 10144151749 is 94715144101.

10144151749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10131831649 + 12320100 = 100657^2 + 3510^2 .

It is a cyclic number.

It is not a de Polignac number, because 10144151749 - 21 = 10144151747 is a prime.

Together with 10144151747, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10144151741) 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, 5072075874 + 5072075875.

It is an arithmetic number, because the mean of its divisors is an integer number (5072075875).

Almost surely, 210144151749 is an apocalyptic number.

It is an amenable number.

10144151749 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144151749 is an equidigital number, since it uses as much as digits as its factorization.

10144151749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 10144151749 in words is "ten billion, one hundred forty-four million, one hundred fifty-one thousand, seven hundred forty-nine".