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152663402653 is a prime number
BaseRepresentation
bin1000111000101101110…
…0101010100010011101
3112121001101010101110021
42032023130222202131
510000123312341103
6154044350312141
714013066340366
oct2161334524235
9477041111407
10152663402653
1159820568a73
12257067b8651
131151c2c1068
1475633b8b6d
153e87835bbd
hex238b72a89d

152663402653 has 2 divisors, whose sum is σ = 152663402654. Its totient is φ = 152663402652.

The previous prime is 152663402629. The next prime is 152663402663. The reversal of 152663402653 is 356204366251.

152663402653 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., 120449255364 + 32214147289 = 347058^2 + 179483^2 .

It is a cyclic number.

It is not a de Polignac number, because 152663402653 - 29 = 152663402141 is a prime.

It is a super-2 number, since 2×1526634026532 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (152663402663) 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, 76331701326 + 76331701327.

It is an arithmetic number, because the mean of its divisors is an integer number (76331701327).

Almost surely, 2152663402653 is an apocalyptic number.

It is an amenable number.

152663402653 is a deficient number, since it is larger than the sum of its proper divisors (1).

152663402653 is an equidigital number, since it uses as much as digits as its factorization.

152663402653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 152663402653 in words is "one hundred fifty-two billion, six hundred sixty-three million, four hundred two thousand, six hundred fifty-three".