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13877116961 is a prime number
BaseRepresentation
bin11001110110010010…
…00000000000100001
31022211010020120201212
430323021000000201
5211410020220321
610213002435505
71000613355641
oct147311000041
938733216655
1013877116961
1159812a8404
122833502b95
131402015916
1495904a521
1556345d55b
hex33b240021

13877116961 has 2 divisors, whose sum is σ = 13877116962. Its totient is φ = 13877116960.

The previous prime is 13877116943. The next prime is 13877117027. The reversal of 13877116961 is 16961177831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12283510561 + 1593606400 = 110831^2 + 39920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13877116961 is a prime.

It is not a weakly prime, because it can be changed into another prime (13877116901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6938558480 + 6938558481.

It is an arithmetic number, because the mean of its divisors is an integer number (6938558481).

Almost surely, 213877116961 is an apocalyptic number.

It is an amenable number.

13877116961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13877116961 is an equidigital number, since it uses as much as digits as its factorization.

13877116961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 381024, while the sum is 50.

The spelling of 13877116961 in words is "thirteen billion, eight hundred seventy-seven million, one hundred sixteen thousand, nine hundred sixty-one".