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138383357186177 is a prime number
BaseRepresentation
bin11111011101101111100010…
…110110010001000010000001
3200010222022122002120112000222
4133131233202312101002001
5121114233103414424202
61210152234152552425
741101603411064645
oct3735574266210201
9603868562515028
10138383357186177
1140103063537474
121362b7563b2715
135c2a6577c533c
142625b0c53cc25
1510eea06c884a2
hex7ddbe2d91081

138383357186177 has 2 divisors, whose sum is σ = 138383357186178. Its totient is φ = 138383357186176.

The previous prime is 138383357185963. The next prime is 138383357186189. The reversal of 138383357186177 is 771681753383831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131891236640881 + 6492120545296 = 11484391^2 + 2547964^2 .

It is a cyclic number.

It is not a de Polignac number, because 138383357186177 - 224 = 138383340408961 is a prime.

It is a super-2 number, since 2×1383833571861772 (a number of 29 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 138383357186177.

It is not a weakly prime, because it can be changed into another prime (138383357386177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69191678593088 + 69191678593089.

It is an arithmetic number, because the mean of its divisors is an integer number (69191678593089).

Almost surely, 2138383357186177 is an apocalyptic number.

It is an amenable number.

138383357186177 is a deficient number, since it is larger than the sum of its proper divisors (1).

138383357186177 is an equidigital number, since it uses as much as digits as its factorization.

138383357186177 is an evil number, because the sum of its binary digits is even.

The product of its digits is 426746880, while the sum is 71.

The spelling of 138383357186177 in words is "one hundred thirty-eight trillion, three hundred eighty-three billion, three hundred fifty-seven million, one hundred eighty-six thousand, one hundred seventy-seven".