Search a number
-
+
61838317889 is a prime number
BaseRepresentation
bin111001100101110110…
…011101100101000001
312220121121201000210222
4321211312131211001
52003121102133024
644224053432425
74316261013035
oct714566354501
9186547630728
1061838317889
1124253133547
12bb9963b715
135aa657525a
142dc8aa21c5
15191dd2985e
hexe65d9d941

61838317889 has 2 divisors, whose sum is σ = 61838317890. Its totient is φ = 61838317888.

The previous prime is 61838317861. The next prime is 61838317901. The reversal of 61838317889 is 98871383816.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41785492225 + 20052825664 = 204415^2 + 141608^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61838317889 is a prime.

It is not a weakly prime, because it can be changed into another prime (61838317859) 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, 30919158944 + 30919158945.

It is an arithmetic number, because the mean of its divisors is an integer number (30919158945).

Almost surely, 261838317889 is an apocalyptic number.

It is an amenable number.

61838317889 is a deficient number, since it is larger than the sum of its proper divisors (1).

61838317889 is an equidigital number, since it uses as much as digits as its factorization.

61838317889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13934592, while the sum is 62.

The spelling of 61838317889 in words is "sixty-one billion, eight hundred thirty-eight million, three hundred seventeen thousand, eight hundred eighty-nine".