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13777776401 is a prime number
BaseRepresentation
bin11001101010011100…
…00010111100010001
31022120012022120002212
430311032002330101
5211204102321101
610155053321505
7665266111214
oct146516027421
938505276085
1013777776401
115930217374
122806196295
1313b757331c
14949b8b77b
155598891bb
hex335382f11

13777776401 has 2 divisors, whose sum is σ = 13777776402. Its totient is φ = 13777776400.

The previous prime is 13777776367. The next prime is 13777776433. The reversal of 13777776401 is 10467777731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12577846801 + 1199929600 = 112151^2 + 34640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13777776401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13777776401.

It is not a weakly prime, because it can be changed into another prime (13777776461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6888888200 + 6888888201.

It is an arithmetic number, because the mean of its divisors is an integer number (6888888201).

Almost surely, 213777776401 is an apocalyptic number.

It is an amenable number.

13777776401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13777776401 is an equidigital number, since it uses as much as digits as its factorization.

13777776401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1210104, while the sum is 50.

The spelling of 13777776401 in words is "thirteen billion, seven hundred seventy-seven million, seven hundred seventy-six thousand, four hundred one".