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152426612417 is a prime number
BaseRepresentation
bin1000110111110101010…
…1011000011011000001
3112120102212120012022112
42031331111120123001
54444132203044132
6154005051145105
714004162554012
oct2157525303301
9476385505275
10152426612417
1159709937a62
122565b445195
13114b22251b1
14753db7b009
153e71b60ab2
hex237d5586c1

152426612417 has 2 divisors, whose sum is σ = 152426612418. Its totient is φ = 152426612416.

The previous prime is 152426612357. The next prime is 152426612431. The reversal of 152426612417 is 714216624251.

It is a happy number.

152426612417 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., 80687811136 + 71738801281 = 284056^2 + 267841^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-152426612417 is a prime.

It is not a weakly prime, because it can be changed into another prime (152426612447) 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, 76213306208 + 76213306209.

It is an arithmetic number, because the mean of its divisors is an integer number (76213306209).

Almost surely, 2152426612417 is an apocalyptic number.

It is an amenable number.

152426612417 is a deficient number, since it is larger than the sum of its proper divisors (1).

152426612417 is an equidigital number, since it uses as much as digits as its factorization.

152426612417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 161280, while the sum is 41.

The spelling of 152426612417 in words is "one hundred fifty-two billion, four hundred twenty-six million, six hundred twelve thousand, four hundred seventeen".