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19126811268 = 22327116744809
BaseRepresentation
bin10001110100000010…
…111111101010000100
31211100222110200111100
4101310002333222010
5303132430430033
612441533540100
71244660133105
oct216402775204
954328420440
1019126811268
11812564a444
123859644630
131a5a80aa06
14cd63483ac
1576e288513
hex4740bfa84

19126811268 has 72 divisors (see below), whose sum is σ = 49323980160. Its totient is φ = 6248027520.

The previous prime is 19126811267. The next prime is 19126811273. The reversal of 19126811268 is 86211862191.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (19126811267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404448 + ... + 449256.

It is an arithmetic number, because the mean of its divisors is an integer number (685055280).

Almost surely, 219126811268 is an apocalyptic number.

19126811268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19126811268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24661990080).

19126811268 is an abundant number, since it is smaller than the sum of its proper divisors (30197168892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19126811268 is a wasteful number, since it uses less digits than its factorization.

19126811268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45057 (or 45052 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The spelling of 19126811268 in words is "nineteen billion, one hundred twenty-six million, eight hundred eleven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 167 213 284 334 426 501 639 668 852 1002 1278 1503 2004 2556 3006 6012 11857 23714 35571 44809 47428 71142 89618 106713 134427 142284 179236 213426 268854 403281 426852 537708 806562 1613124 3181439 6362878 7483103 9544317 12725756 14966206 19088634 22449309 28632951 29932412 38177268 44898618 57265902 67347927 89797236 114531804 134695854 269391708 531300313 1062600626 1593900939 2125201252 3187801878 4781702817 6375603756 9563405634 19126811268