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152958463409 is a prime number
BaseRepresentation
bin1000111001110100001…
…0001110110110110001
3112121210221100000201102
42032131002032312301
510001224331312114
6154133530414145
714023311326003
oct2163502166661
9477727300642
10152958463409
1159962079534
1225789591355
131156847c91b
147590664373
153ea36bb2de
hex239d08edb1

152958463409 has 2 divisors, whose sum is σ = 152958463410. Its totient is φ = 152958463408.

The previous prime is 152958463397. The next prime is 152958463421. The reversal of 152958463409 is 904364859251.

152958463409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (152958463397) and next prime (152958463421).

It can be written as a sum of positive squares in only one way, i.e., 145267699600 + 7690763809 = 381140^2 + 87697^2 .

It is a cyclic number.

It is not a de Polignac number, because 152958463409 - 24 = 152958463393 is a prime.

It is a super-3 number, since 3×1529584634093 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (152958463109) 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, 76479231704 + 76479231705.

It is an arithmetic number, because the mean of its divisors is an integer number (76479231705).

Almost surely, 2152958463409 is an apocalyptic number.

It is an amenable number.

152958463409 is a deficient number, since it is larger than the sum of its proper divisors (1).

152958463409 is an equidigital number, since it uses as much as digits as its factorization.

152958463409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9331200, while the sum is 56.

The spelling of 152958463409 in words is "one hundred fifty-two billion, nine hundred fifty-eight million, four hundred sixty-three thousand, four hundred nine".