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138367766417 is a prime number
BaseRepresentation
bin1000000011011101011…
…1001000111110010001
3111020011002100211012112
42000313113020332101
54231334122011132
6143322033235105
712665611415546
oct2006727107621
9436132324175
10138367766417
1153754aa6971
1222997102a95
13100816816ca
1469a8946bcd
1538ec7a6ab2
hex20375c8f91

138367766417 has 2 divisors, whose sum is σ = 138367766418. Its totient is φ = 138367766416.

The previous prime is 138367766413. The next prime is 138367766483. The reversal of 138367766417 is 714667763831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85518814096 + 52848952321 = 292436^2 + 229889^2 .

It is a cyclic number.

It is not a de Polignac number, because 138367766417 - 22 = 138367766413 is a prime.

It is a super-4 number, since 4×1383677664174 (a number of 46 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (138367766413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69183883208 + 69183883209.

It is an arithmetic number, because the mean of its divisors is an integer number (69183883209).

Almost surely, 2138367766417 is an apocalyptic number.

It is an amenable number.

138367766417 is a deficient number, since it is larger than the sum of its proper divisors (1).

138367766417 is an equidigital number, since it uses as much as digits as its factorization.

138367766417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21337344, while the sum is 59.

The spelling of 138367766417 in words is "one hundred thirty-eight billion, three hundred sixty-seven million, seven hundred sixty-six thousand, four hundred seventeen".