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152737305793 is a prime number
BaseRepresentation
bin1000111000111111011…
…0100101010011000001
3112121020112012001111121
42032033312211103001
510000301222241133
6154055550312241
714014654451422
oct2161766452301
9477215161447
10152737305793
1159859255546
12257274b8681
13115316c8327
14756d135649
153e8e08302d
hex238fda54c1

152737305793 has 2 divisors, whose sum is σ = 152737305794. Its totient is φ = 152737305792.

The previous prime is 152737305751. The next prime is 152737305797. The reversal of 152737305793 is 397503737251.

It is a happy number.

152737305793 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., 131472958464 + 21264347329 = 362592^2 + 145823^2 .

It is a cyclic number.

It is not a de Polignac number, because 152737305793 - 221 = 152735208641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 152737305793.

It is not a weakly prime, because it can be changed into another prime (152737305797) 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, 76368652896 + 76368652897.

It is an arithmetic number, because the mean of its divisors is an integer number (76368652897).

Almost surely, 2152737305793 is an apocalyptic number.

It is an amenable number.

152737305793 is a deficient number, since it is larger than the sum of its proper divisors (1).

152737305793 is an equidigital number, since it uses as much as digits as its factorization.

152737305793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4167450, while the sum is 52.

The spelling of 152737305793 in words is "one hundred fifty-two billion, seven hundred thirty-seven million, three hundred five thousand, seven hundred ninety-three".