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13649133977957 is a prime number
BaseRepresentation
bin1100011010011110111111…
…0010000100000101100101
31210022211210121121021111002
43012213233302010011211
53242111411244243312
645010154154323045
72606055156360512
oct306475762040545
953284717537432
1013649133977957
114392624331145
121645363429485
13780152b2775a
1435289b9a6309
1518a0a2d304c2
hexc69efc84165

13649133977957 has 2 divisors, whose sum is σ = 13649133977958. Its totient is φ = 13649133977956.

The previous prime is 13649133977953. The next prime is 13649133978001. The reversal of 13649133977957 is 75977933194631.

It is a happy number.

13649133977957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7399128977956 + 6250005000001 = 2720134^2 + 2500001^2 .

It is a cyclic number.

It is not a de Polignac number, because 13649133977957 - 22 = 13649133977953 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13649133977953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6824566988978 + 6824566988979.

It is an arithmetic number, because the mean of its divisors is an integer number (6824566988979).

Almost surely, 213649133977957 is an apocalyptic number.

It is an amenable number.

13649133977957 is a deficient number, since it is larger than the sum of its proper divisors (1).

13649133977957 is an equidigital number, since it uses as much as digits as its factorization.

13649133977957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 810152280, while the sum is 74.

The spelling of 13649133977957 in words is "thirteen trillion, six hundred forty-nine billion, one hundred thirty-three million, nine hundred seventy-seven thousand, nine hundred fifty-seven".