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136938357917 is a prime number
BaseRepresentation
bin111111110001000101…
…0011000010010011101
3111002110110200100100222
41333202022120102131
54220422204423132
6142524132131125
712615313560044
oct1774212302235
9432413610328
10136938357917
1153091151129
1222658466aa5
13cbb44a726a
1468b0b7b55b
153867053412
hex1fe229849d

136938357917 has 2 divisors, whose sum is σ = 136938357918. Its totient is φ = 136938357916.

The previous prime is 136938357869. The next prime is 136938357929. The reversal of 136938357917 is 719753839631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134585525881 + 2352832036 = 366859^2 + 48506^2 .

It is an emirp because it is prime and its reverse (719753839631) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-136938357917 is a prime.

It is a super-2 number, since 2×1369383579172 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136938357917.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (136938357817) 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, 68469178958 + 68469178959.

It is an arithmetic number, because the mean of its divisors is an integer number (68469178959).

Almost surely, 2136938357917 is an apocalyptic number.

It is an amenable number.

136938357917 is a deficient number, since it is larger than the sum of its proper divisors (1).

136938357917 is an equidigital number, since it uses as much as digits as its factorization.

136938357917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25719120, while the sum is 62.

The spelling of 136938357917 in words is "one hundred thirty-six billion, nine hundred thirty-eight million, three hundred fifty-seven thousand, nine hundred seventeen".