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18274142328 = 2331364790527
BaseRepresentation
bin10001000001001110…
…010100100001111000
31202011120000121121020
4101001032110201320
5244411140023303
612221154142440
71214564434611
oct210116244170
952146017536
1018274142328
117828305672
12365bb81a20
131952c76990
14c54dccc08
1571e4aaa53
hex441394878

18274142328 has 64 divisors (see below), whose sum is σ = 49276200960. Its totient is φ = 5614060416.

The previous prime is 18274142323. The next prime is 18274142357. The reversal of 18274142328 is 82324147281.

It is a self number, because there is not a number n which added to its sum of digits gives 18274142328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18274142323) 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 in 15 ways as a sum of consecutive naturals, for example, 156601 + ... + 247127.

It is an arithmetic number, because the mean of its divisors is an integer number (769940640).

Almost surely, 218274142328 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 18274142328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24638100480).

18274142328 is an abundant number, since it is smaller than the sum of its proper divisors (31002058632).

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

18274142328 is a wasteful number, since it uses less digits than its factorization.

18274142328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91196 (or 91192 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The spelling of 18274142328 in words is "eighteen billion, two hundred seventy-four million, one hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 647 1294 1941 2588 3882 5176 7764 8411 15528 16822 25233 33644 50466 67288 90527 100932 181054 201864 271581 362108 543162 724216 1086324 1176851 2172648 2353702 3530553 4707404 7061106 9414808 14122212 28244424 58570969 117141938 175712907 234283876 351425814 468567752 702851628 761422597 1405703256 1522845194 2284267791 3045690388 4568535582 6091380776 9137071164 18274142328