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151585440749 is a prime number
BaseRepresentation
bin1000110100101100110…
…0100100001111101101
3112111021020202020201022
42031023030210033231
54440421333100444
6153345402023525
713644266662331
oct2151314441755
9474236666638
10151585440749
1159318036266
12254657a7ba5
13113a9b88392
1474a01757c1
153e22da49ee
hex234b3243ed

151585440749 has 2 divisors, whose sum is σ = 151585440750. Its totient is φ = 151585440748.

The previous prime is 151585440731. The next prime is 151585440817. The reversal of 151585440749 is 947044585151.

It is a happy number.

151585440749 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., 150148500100 + 1436940649 = 387490^2 + 37907^2 .

It is a cyclic number.

It is not a de Polignac number, because 151585440749 - 216 = 151585375213 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 151585440749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (151585440719) 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, 75792720374 + 75792720375.

It is an arithmetic number, because the mean of its divisors is an integer number (75792720375).

Almost surely, 2151585440749 is an apocalyptic number.

It is an amenable number.

151585440749 is a deficient number, since it is larger than the sum of its proper divisors (1).

151585440749 is an equidigital number, since it uses as much as digits as its factorization.

151585440749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032000, while the sum is 53.

The spelling of 151585440749 in words is "one hundred fifty-one billion, five hundred eighty-five million, four hundred forty thousand, seven hundred forty-nine".