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14516317192 = 231331137309
BaseRepresentation
bin11011000010011110…
…10110110000001000
31101110200000022121111
431201033112300020
5214212134122232
610400235020104
71022504442316
oct154117266010
941420008544
1014516317192
11617a09aa63
12299159a634
1314a4588000
149b9cb90b6
1559e621047
hex3613d6c08

14516317192 has 64 divisors (see below), whose sum is σ = 29750238000. Its totient is φ = 6639639552.

The previous prime is 14516317163. The next prime is 14516317219. The reversal of 14516317192 is 29171361541.

It can be written as a sum of positive squares in 8 ways, for example, as 3945598596 + 10570718596 = 62814^2 + 102814^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1982434 + ... + 1989742.

Almost surely, 214516317192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14516317192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875119000).

14516317192 is an abundant number, since it is smaller than the sum of its proper divisors (15233920808).

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

14516317192 is a wasteful number, since it uses less digits than its factorization.

14516317192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7467 (or 7437 counting only the distinct ones).

The product of its digits is 45360, while the sum is 40.

The spelling of 14516317192 in words is "fourteen billion, five hundred sixteen million, three hundred seventeen thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 104 113 169 226 338 452 676 904 1352 1469 2197 2938 4394 5876 7309 8788 11752 14618 17576 19097 29236 38194 58472 76388 95017 152776 190034 248261 380068 496522 760136 825917 993044 1235221 1651834 1986088 2470442 3303668 4940884 6607336 9881768 10736921 16057873 21473842 32115746 42947684 64231492 85895368 128462984 139579973 279159946 558319892 1116639784 1814539649 3629079298 7258158596 14516317192