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18293087232 = 2103272331217
BaseRepresentation
bin10001000010010110…
…100101110000000000
31202012212200010010100
4101002112211300000
5244431012242412
612223112202400
71215214450560
oct210226456000
952185603110
1018293087232
117837a75212
123666399400
131956b7aa94
14c57720da0
15720e9dedc
hex4425a5c00

18293087232 has 264 divisors, whose sum is σ = 60675634656. Its totient is φ = 5199888384.

The previous prime is 18293087213. The next prime is 18293087243. The reversal of 18293087232 is 23278039281.

It is a super-2 number, since 2×182930872322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15030688 + ... + 15031904.

Almost surely, 218293087232 is an apocalyptic number.

18293087232 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 18293087232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30337817328).

18293087232 is an abundant number, since it is smaller than the sum of its proper divisors (42382547424).

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

18293087232 is a wasteful number, since it uses less digits than its factorization.

18293087232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 18293087232 in words is "eighteen billion, two hundred ninety-three million, eighty-seven thousand, two hundred thirty-two".