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18249000492 = 22323533313769
BaseRepresentation
bin10000111111101110…
…011010011000101100
31202002210201021111010
4100333232122120230
5244333221003432
612214455225220
71214140642032
oct207756323054
952083637433
1018249000492
1178150a3198
123653678210
13194a9b3058
14c51926552
1571c1913cc
hex43fb9a62c

18249000492 has 96 divisors (see below), whose sum is σ = 45419512320. Its totient is φ = 5689981440.

The previous prime is 18249000449. The next prime is 18249000521. The reversal of 18249000492 is 29400094281.

It is a self number, because there is not a number n which added to its sum of digits gives 18249000492.

It is an unprimeable number.

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, 4839984 + ... + 4843752.

It is an arithmetic number, because the mean of its divisors is an integer number (473119920).

Almost surely, 218249000492 is an apocalyptic number.

18249000492 is a gapful number since it is divisible by the number (12) 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 18249000492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22709756160).

18249000492 is an abundant number, since it is smaller than the sum of its proper divisors (27170511828).

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

18249000492 is a wasteful number, since it uses less digits than its factorization.

18249000492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 18249000492 in words is "eighteen billion, two hundred forty-nine million, four hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 212 276 318 331 636 662 993 1219 1324 1986 2438 3657 3769 3972 4876 7314 7538 7613 11307 14628 15076 15226 17543 22614 22839 30452 35086 45228 45678 52629 70172 86687 91356 105258 173374 199757 210516 260061 346748 399514 403489 520122 599271 799028 806978 1040244 1198542 1210467 1247539 1613956 2397084 2420934 2495078 3742617 4594411 4841868 4990156 7485234 9188822 13783233 14970468 18377644 27566466 28693397 55132932 57386794 66119567 86080191 114773588 132239134 172160382 198358701 264478268 344320764 396717402 793434804 1520750041 3041500082 4562250123 6083000164 9124500246 18249000492