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138764683873 is a prime number
BaseRepresentation
bin1000000100111100000…
…1010000101001100001
3111021011202020022121001
42001033001100221201
54233142224340443
6143425252432001
713011501231364
oct2011701205141
9437152208531
10138764683873
1153939056922
1222a88018601
1310115983bca
146a055480db
15392255bd4d
hex204f050a61

138764683873 has 2 divisors, whose sum is σ = 138764683874. Its totient is φ = 138764683872.

The previous prime is 138764683859. The next prime is 138764683891. The reversal of 138764683873 is 378386467831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71571230784 + 67193453089 = 267528^2 + 259217^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-138764683873 is a prime.

It is not a weakly prime, because it can be changed into another prime (138764683843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69382341936 + 69382341937.

It is an arithmetic number, because the mean of its divisors is an integer number (69382341937).

Almost surely, 2138764683873 is an apocalyptic number.

It is an amenable number.

138764683873 is a deficient number, since it is larger than the sum of its proper divisors (1).

138764683873 is an equidigital number, since it uses as much as digits as its factorization.

138764683873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 97542144, while the sum is 64.

The spelling of 138764683873 in words is "one hundred thirty-eight billion, seven hundred sixty-four million, six hundred eighty-three thousand, eight hundred seventy-three".