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137435389873 is a prime number
BaseRepresentation
bin111111111111111001…
…0011001111110110001
3111010202002221012000221
41333333302121332301
54222431424433443
6143045325213041
712633530352565
oct1777762317661
9433662835027
10137435389873
1153316770641
1222776a01181
13cc63460402
14691ab9d6a5
1538959d1eed
hex1fffc99fb1

137435389873 has 2 divisors, whose sum is σ = 137435389874. Its totient is φ = 137435389872.

The previous prime is 137435389853. The next prime is 137435389879. The reversal of 137435389873 is 378983534731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95922142369 + 41513247504 = 309713^2 + 203748^2 .

It is an emirp because it is prime and its reverse (378983534731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137435389873 - 217 = 137435258801 is a prime.

It is a super-2 number, since 2×1374353898732 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137435389879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68717694936 + 68717694937.

It is an arithmetic number, because the mean of its divisors is an integer number (68717694937).

Almost surely, 2137435389873 is an apocalyptic number.

It is an amenable number.

137435389873 is a deficient number, since it is larger than the sum of its proper divisors (1).

137435389873 is an equidigital number, since it uses as much as digits as its factorization.

137435389873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45722880, while the sum is 61.

The spelling of 137435389873 in words is "one hundred thirty-seven billion, four hundred thirty-five million, three hundred eighty-nine thousand, eight hundred seventy-three".