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10647958157 is a prime number
BaseRepresentation
bin10011110101010101…
…01111001010001101
31000111002000022121122
421322222233022031
5133301334130112
64520330410325
7524603102534
oct117252571215
930432008548
1010647958157
114574549621
122091b909a5
131009007c75
1473023131b
15424c00872
hex27aaaf28d

10647958157 has 2 divisors, whose sum is σ = 10647958158. Its totient is φ = 10647958156.

The previous prime is 10647958133. The next prime is 10647958231. The reversal of 10647958157 is 75185974601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10529017321 + 118940836 = 102611^2 + 10906^2 .

It is a cyclic number.

It is not a de Polignac number, because 10647958157 - 212 = 10647954061 is a prime.

It is a super-2 number, since 2×106479581572 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10647958099 and 10647958108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10647958117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5323979078 + 5323979079.

It is an arithmetic number, because the mean of its divisors is an integer number (5323979079).

Almost surely, 210647958157 is an apocalyptic number.

It is an amenable number.

10647958157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10647958157 is an equidigital number, since it uses as much as digits as its factorization.

10647958157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2116800, while the sum is 53.

The spelling of 10647958157 in words is "ten billion, six hundred forty-seven million, nine hundred fifty-eight thousand, one hundred fifty-seven".