Search a number
-
+
462461323066261 is a prime number
BaseRepresentation
bin110100100100110110010101…
…0111000100011101110010101
32020122102212111202020101112021
41221021230222320203232111
5441103431242201110021
64315323444320453141
7166260504462634651
oct15111545270435625
92218385452211467
10462461323066261
11124399822590232
1243a5012947a1b1
1316b07bb987ba5c
14822b36708da61
15386ea31054c41
hex1a49b2ae23b95

462461323066261 has 2 divisors, whose sum is σ = 462461323066262. Its totient is φ = 462461323066260.

The previous prime is 462461323066201. The next prime is 462461323066277. The reversal of 462461323066261 is 162660323164264.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 342085184847025 + 120376138219236 = 18495545^2 + 10971606^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-462461323066261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 462461323066199 and 462461323066208.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (462461323066201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 231230661533130 + 231230661533131.

It is an arithmetic number, because the mean of its divisors is an integer number (231230661533131).

Almost surely, 2462461323066261 is an apocalyptic number.

It is an amenable number.

462461323066261 is a deficient number, since it is larger than the sum of its proper divisors (1).

462461323066261 is an equidigital number, since it uses as much as digits as its factorization.

462461323066261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8957952, while the sum is 52.

The spelling of 462461323066261 in words is "four hundred sixty-two trillion, four hundred sixty-one billion, three hundred twenty-three million, sixty-six thousand, two hundred sixty-one".