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152728813729 is a prime number
BaseRepresentation
bin1000111000111101011…
…0001100000010100001
3112121012221012121120201
42032033112030002201
510000242034014404
6154055044305201
714014522332262
oct2161726140241
9477187177521
10152728813729
1159854485308
12257246a2201
131152ca13c3b
14756bd64969
153e8d456ca4
hex238f58c0a1

152728813729 has 2 divisors, whose sum is σ = 152728813730. Its totient is φ = 152728813728.

The previous prime is 152728813691. The next prime is 152728813759. The reversal of 152728813729 is 927318827251.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116571030625 + 36157783104 = 341425^2 + 190152^2 .

It is a cyclic number.

It is not a de Polignac number, because 152728813729 - 211 = 152728811681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 152728813729.

It is not a weakly prime, because it can be changed into another prime (152728813759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76364406864 + 76364406865.

It is an arithmetic number, because the mean of its divisors is an integer number (76364406865).

Almost surely, 2152728813729 is an apocalyptic number.

It is an amenable number.

152728813729 is a deficient number, since it is larger than the sum of its proper divisors (1).

152728813729 is an equidigital number, since it uses as much as digits as its factorization.

152728813729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3386880, while the sum is 55.

The spelling of 152728813729 in words is "one hundred fifty-two billion, seven hundred twenty-eight million, eight hundred thirteen thousand, seven hundred twenty-nine".