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18252205038 = 2337313733797
BaseRepresentation
bin10000111111111010…
…101000101111101110
31202010000202002022000
4100333322220233232
5244340031030123
612215052033130
71214210116524
oct207772505756
952100662260
1018252205038
117816991881
1236547627a6
13194b565832
14c5211c314
1571c5c5b43
hex43fea8bee

18252205038 has 64 divisors (see below), whose sum is σ = 41417421120. Its totient is φ = 5956747776.

The previous prime is 18252205009. The next prime is 18252205061. The reversal of 18252205038 is 83050225281.

18252205038 is a `hidden beast` number, since 1 + 82 + 52 + 20 + 503 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18252204993 and 18252205011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523156 + ... + 556952.

It is an arithmetic number, because the mean of its divisors is an integer number (647147205).

Almost surely, 218252205038 is an apocalyptic number.

18252205038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18252205038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20708710560).

18252205038 is an abundant number, since it is smaller than the sum of its proper divisors (23165216082).

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

18252205038 is a wasteful number, since it uses less digits than its factorization.

18252205038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34018 (or 34012 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 18252205038 in words is "eighteen billion, two hundred fifty-two million, two hundred five thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 73 137 146 219 274 411 438 657 822 1233 1314 1971 2466 3699 3942 7398 10001 20002 30003 33797 60006 67594 90009 101391 180018 202782 270027 304173 540054 608346 912519 1825038 2467181 4630189 4934362 7401543 9260378 13890567 14803086 22204629 27781134 41671701 44409258 66613887 83343402 125015103 133227774 250030206 338003797 676007594 1014011391 2028022782 3042034173 6084068346 9126102519 18252205038