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19142582082 = 23135318125583
BaseRepresentation
bin10001110100111111…
…001001111101000010
31211102002010220222120
4101310333021331002
5303201000111312
612443255545110
71245241156131
oct216477117502
954362126876
1019142582082
118133541278
12386298b196
131a60b70160
14cd8491918
1577085128c
hex474fc9f42

19142582082 has 64 divisors (see below), whose sum is σ = 42241844736. Its totient is φ = 5746740480.

The previous prime is 19142582051. The next prime is 19142582087. The reversal of 19142582082 is 28028524191.

It is a super-2 number, since 2×191425820822 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19142582087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735463 + ... + 761045.

It is an arithmetic number, because the mean of its divisors is an integer number (660028824).

Almost surely, 219142582082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19142582082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21120922368).

19142582082 is an abundant number, since it is smaller than the sum of its proper divisors (23099262654).

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

19142582082 is a wasteful number, since it uses less digits than its factorization.

19142582082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25835.

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 19142582082 in words is "nineteen billion, one hundred forty-two million, five hundred eighty-two thousand, eighty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 181 318 362 543 689 1086 1378 2067 2353 4134 4706 7059 9593 14118 19186 25583 28779 51166 57558 76749 124709 153498 249418 332579 374127 665158 748254 997737 1355899 1995474 2711798 4067697 4630523 8135394 9261046 13891569 17626687 27783138 35253374 52880061 60196799 105760122 120393598 180590397 245417719 361180794 490835438 736253157 1472506314 3190430347 6380860694 9571291041 19142582082