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152562654641 is a prime number
BaseRepresentation
bin1000111000010101110…
…0010101110110110001
3112120210100112212011102
42032011130111312301
54444422014422031
6154030351054145
714010434111405
oct2160534256661
9476710485142
10152562654641
1159779706551
1225698b11355
1311504477c57
147553c71105
153e7da847cb
hex2385715db1

152562654641 has 2 divisors, whose sum is σ = 152562654642. Its totient is φ = 152562654640.

The previous prime is 152562654599. The next prime is 152562654661. The reversal of 152562654641 is 146456265251.

152562654641 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., 89952606241 + 62610048400 = 299921^2 + 250220^2 .

It is a cyclic number.

It is not a de Polignac number, because 152562654641 - 226 = 152495545777 is a prime.

It is a super-2 number, since 2×1525626546412 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (152562654661) 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, 76281327320 + 76281327321.

It is an arithmetic number, because the mean of its divisors is an integer number (76281327321).

Almost surely, 2152562654641 is an apocalyptic number.

It is an amenable number.

152562654641 is a deficient number, since it is larger than the sum of its proper divisors (1).

152562654641 is an equidigital number, since it uses as much as digits as its factorization.

152562654641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728000, while the sum is 47.

The spelling of 152562654641 in words is "one hundred fifty-two billion, five hundred sixty-two million, six hundred fifty-four thousand, six hundred forty-one".