Search a number
-
+
61737134759 is a prime number
BaseRepresentation
bin111001011111110100…
…011110101010100111
312220100120022101122122
4321133310132222213
52002414201303014
644210041020155
74313621662346
oct713764365247
9186316271578
1061737134759
1124201004123
12bb6b78465b
135a8b609091
142db9483b5d
151914ede58e
hexe5fd1eaa7

61737134759 has 2 divisors, whose sum is σ = 61737134760. Its totient is φ = 61737134758.

The previous prime is 61737134731. The next prime is 61737134917. The reversal of 61737134759 is 95743173716.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 61737134759 - 220 = 61736086183 is a prime.

It is a super-2 number, since 2×617371347592 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61737134759.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61737134059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30868567379 + 30868567380.

It is an arithmetic number, because the mean of its divisors is an integer number (30868567380).

Almost surely, 261737134759 is an apocalyptic number.

61737134759 is a deficient number, since it is larger than the sum of its proper divisors (1).

61737134759 is an equidigital number, since it uses as much as digits as its factorization.

61737134759 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3333960, while the sum is 53.

The spelling of 61737134759 in words is "sixty-one billion, seven hundred thirty-seven million, one hundred thirty-four thousand, seven hundred fifty-nine".