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152814012781 is a prime number
BaseRepresentation
bin1000111001010001101…
…1001100100101101101
3112121102212112011201011
42032110123030211231
510000430341402111
6154111330345221
714016605451103
oct2162433144555
9477385464634
10152814012781
1159898587651
122574912b211
1311544574891
1475793c1c73
153e95b86021
hex23946cc96d

152814012781 has 2 divisors, whose sum is σ = 152814012782. Its totient is φ = 152814012780.

The previous prime is 152814012733. The next prime is 152814012829. The reversal of 152814012781 is 187210418251.

It is a happy number.

152814012781 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 (152814012733) and next prime (152814012829).

It can be written as a sum of positive squares in only one way, i.e., 136819351881 + 15994660900 = 369891^2 + 126470^2 .

It is a cyclic number.

It is not a de Polignac number, because 152814012781 - 215 = 152813980013 is a prime.

It is a super-2 number, since 2×1528140127812 (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 (152814012581) 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, 76407006390 + 76407006391.

It is an arithmetic number, because the mean of its divisors is an integer number (76407006391).

Almost surely, 2152814012781 is an apocalyptic number.

It is an amenable number.

152814012781 is a deficient number, since it is larger than the sum of its proper divisors (1).

152814012781 is an equidigital number, since it uses as much as digits as its factorization.

152814012781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35840, while the sum is 40.

The spelling of 152814012781 in words is "one hundred fifty-two billion, eight hundred fourteen million, twelve thousand, seven hundred eighty-one".