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93138274729 is a prime number
BaseRepresentation
bin101011010111101111…
…0010100100110101001
322220101222002120201201
41112233132110212221
53011221344242404
6110442004244201
76505024162363
oct1265736244651
9286358076651
1093138274729
1136555145375
12160739a0661
138a2405b786
144717a19d33
152651b35ca4
hex15af7949a9

93138274729 has 2 divisors, whose sum is σ = 93138274730. Its totient is φ = 93138274728.

The previous prime is 93138274709. The next prime is 93138274739. The reversal of 93138274729 is 92747283139.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85415907600 + 7722367129 = 292260^2 + 87877^2 .

It is a cyclic number.

It is not a de Polignac number, because 93138274729 - 219 = 93137750441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 93138274729.

It is not a weakly prime, because it can be changed into another prime (93138274709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46569137364 + 46569137365.

It is an arithmetic number, because the mean of its divisors is an integer number (46569137365).

Almost surely, 293138274729 is an apocalyptic number.

It is an amenable number.

93138274729 is a deficient number, since it is larger than the sum of its proper divisors (1).

93138274729 is an equidigital number, since it uses as much as digits as its factorization.

93138274729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4572288, while the sum is 55.

The spelling of 93138274729 in words is "ninety-three billion, one hundred thirty-eight million, two hundred seventy-four thousand, seven hundred twenty-nine".