Search a number
-
+
19768091967 = 32131943206803
BaseRepresentation
bin10010011010010001…
…010010010100111111
31220000200011010020100
4102122101102110333
5310441112420332
613025322452143
71266605003121
oct223221222477
956020133210
1019768091967
118424633098
1239b8364053
131b3062b050
14d57599211
157aa70c67c
hex49a45253f

19768091967 has 48 divisors (see below), whose sum is σ = 33121728640. Its totient is φ = 11256646464.

The previous prime is 19768091939. The next prime is 19768092061. The reversal of 19768091967 is 76919086791.

It is not a de Polignac number, because 19768091967 - 219 = 19767567679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19768091467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7813 + ... + 198990.

Almost surely, 219768091967 is an apocalyptic number.

19768091967 is a deficient number, since it is larger than the sum of its proper divisors (13353636673).

19768091967 is a wasteful number, since it uses less digits than its factorization.

19768091967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206884 (or 206881 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The spelling of 19768091967 in words is "nineteen billion, seven hundred sixty-eight million, ninety-one thousand, nine hundred sixty-seven".

Divisors: 1 3 9 13 19 39 43 57 117 129 171 247 387 559 741 817 1677 2223 2451 5031 7353 10621 31863 95589 206803 620409 1861227 2688439 3929257 8065317 8892529 11787771 24195951 26677587 35363313 51080341 80032761 115602877 153241023 168958051 346808631 459723069 506874153 1040425893 1520622459 2196454663 6589363989 19768091967