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261414847649 is a prime number
BaseRepresentation
bin1111001101110110001…
…0100000010010100001
3220222202110011012100102
43303131202200102201
513240334200111044
6320031535232145
724613050353654
oct3633542402241
9828673135312
10261414847649
11a095795923a
12427b7378655
131b860c26007
14c91c82d89b
156c0000124e
hex3cdd8a04a1

261414847649 has 2 divisors, whose sum is σ = 261414847650. Its totient is φ = 261414847648.

The previous prime is 261414847549. The next prime is 261414847657. The reversal of 261414847649 is 946748414162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261269211025 + 145636624 = 511145^2 + 12068^2 .

It is a cyclic number.

It is not a de Polignac number, because 261414847649 - 228 = 261146412193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 261414847594 and 261414847603.

It is not a weakly prime, because it can be changed into another prime (261414847699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130707423824 + 130707423825.

It is an arithmetic number, because the mean of its divisors is an integer number (130707423825).

Almost surely, 2261414847649 is an apocalyptic number.

It is an amenable number.

261414847649 is a deficient number, since it is larger than the sum of its proper divisors (1).

261414847649 is an equidigital number, since it uses as much as digits as its factorization.

261414847649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9289728, while the sum is 56.

The spelling of 261414847649 in words is "two hundred sixty-one billion, four hundred fourteen million, eight hundred forty-seven thousand, six hundred forty-nine".