Search a number
-
+
61292607841 is a prime number
BaseRepresentation
bin111001000101010100…
…101111100101100001
312212012120212002100201
4321011110233211201
52001011401422331
644054001145201
74266613366453
oct710524574541
9185176762321
1061292607841
1123aa3096503
12ba6692b201
135a1a4a75ba
142d7640c2d3
1518dae82a61
hexe4552f961

61292607841 has 2 divisors, whose sum is σ = 61292607842. Its totient is φ = 61292607840.

The previous prime is 61292607811. The next prime is 61292607919. The reversal of 61292607841 is 14870629216.

61292607841 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., 47261020816 + 14031587025 = 217396^2 + 118455^2 .

It is a cyclic number.

It is not a de Polignac number, because 61292607841 - 211 = 61292605793 is a prime.

It is a super-2 number, since 2×612926078412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61292607791 and 61292607800.

It is not a weakly prime, because it can be changed into another prime (61292607811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30646303920 + 30646303921.

It is an arithmetic number, because the mean of its divisors is an integer number (30646303921).

Almost surely, 261292607841 is an apocalyptic number.

It is an amenable number.

61292607841 is a deficient number, since it is larger than the sum of its proper divisors (1).

61292607841 is an equidigital number, since it uses as much as digits as its factorization.

61292607841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 61292607841 in words is "sixty-one billion, two hundred ninety-two million, six hundred seven thousand, eight hundred forty-one".