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137033582393 is a prime number
BaseRepresentation
bin111111110011111010…
…1101000011100111001
3111002201002212020210102
41333213311220130321
54221121044114033
6142541413125145
712620551142321
oct1774765503471
9432632766712
10137033582393
115312a980744
12226843297b5
13cbcb1381c6
1468bd688281
1538705b2de8
hex1fe7d68739

137033582393 has 2 divisors, whose sum is σ = 137033582394. Its totient is φ = 137033582392.

The previous prime is 137033582381. The next prime is 137033582437. The reversal of 137033582393 is 393285330731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136880020729 + 153561664 = 369973^2 + 12392^2 .

It is a cyclic number.

It is not a de Polignac number, because 137033582393 - 28 = 137033582137 is a prime.

It is not a weakly prime, because it can be changed into another prime (137033582093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68516791196 + 68516791197.

It is an arithmetic number, because the mean of its divisors is an integer number (68516791197).

Almost surely, 2137033582393 is an apocalyptic number.

It is an amenable number.

137033582393 is a deficient number, since it is larger than the sum of its proper divisors (1).

137033582393 is an equidigital number, since it uses as much as digits as its factorization.

137033582393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1224720, while the sum is 47.

The spelling of 137033582393 in words is "one hundred thirty-seven billion, thirty-three million, five hundred eighty-two thousand, three hundred ninety-three".