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11649776857 is a prime number
BaseRepresentation
bin10101101100110000…
…10111110011011001
31010001220002222111221
422312120113303121
5142324320324412
65203555052041
7561456320005
oct126630276331
933056088457
1011649776857
114a38aa4864
1223115a1021
131138730bb4
147c72d3705
15482b40b07
hex2b6617cd9

11649776857 has 2 divisors, whose sum is σ = 11649776858. Its totient is φ = 11649776856.

The previous prime is 11649776839. The next prime is 11649776867. The reversal of 11649776857 is 75867794611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11570014096 + 79762761 = 107564^2 + 8931^2 .

It is a cyclic number.

It is not a de Polignac number, because 11649776857 - 219 = 11649252569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11649776795 and 11649776804.

It is not a weakly prime, because it can be changed into another prime (11649776837) 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, 5824888428 + 5824888429.

It is an arithmetic number, because the mean of its divisors is an integer number (5824888429).

Almost surely, 211649776857 is an apocalyptic number.

It is an amenable number.

11649776857 is a deficient number, since it is larger than the sum of its proper divisors (1).

11649776857 is an equidigital number, since it uses as much as digits as its factorization.

11649776857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17781120, while the sum is 61.

The spelling of 11649776857 in words is "eleven billion, six hundred forty-nine million, seven hundred seventy-six thousand, eight hundred fifty-seven".