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1967401013 is a prime number
BaseRepresentation
bin111010101000100…
…0010100000110101
312002010000022211012
41311101002200311
513012123313023
6523120122005
766516430004
oct16521024065
95063008735
101967401013
1191a601556
1246aa66305
132547a2416
14149410c3b
15b7ac3978
hex75442835

1967401013 has 2 divisors, whose sum is σ = 1967401014. Its totient is φ = 1967401012.

The previous prime is 1967400991. The next prime is 1967401057. The reversal of 1967401013 is 3101047691.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1227941764 + 739459249 = 35042^2 + 27193^2 .

It is a cyclic number.

It is not a de Polignac number, because 1967401013 - 218 = 1967138869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1967401063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 983700506 + 983700507.

It is an arithmetic number, because the mean of its divisors is an integer number (983700507).

Almost surely, 21967401013 is an apocalyptic number.

It is an amenable number.

1967401013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1967401013 is an equidigital number, since it uses as much as digits as its factorization.

1967401013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 1967401013 is about 44355.3944069941. The cubic root of 1967401013 is about 1253.0381591287.

The spelling of 1967401013 in words is "one billion, nine hundred sixty-seven million, four hundred one thousand, thirteen".