Search a number
-
+
18368013312 = 2103211409443
BaseRepresentation
bin10001000110110100…
…011010010000000000
31202102002122202101100
4101012310122100000
5300104202411222
612234350134400
71220114352135
oct210664322000
952362582340
1018368013312
1178762a02a0
1236874b1400
13196955283c
14c6366658c
1572784e4ac
hex446d1a400

18368013312 has 264 divisors, whose sum is σ = 58131197280. Its totient is φ = 5539921920.

The previous prime is 18368013311. The next prime is 18368013361. The reversal of 18368013312 is 21331086381.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18368013311) by changing a digit.

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, 41462563 + ... + 41463005.

Almost surely, 218368013312 is an apocalyptic number.

18368013312 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 18368013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29065598640).

18368013312 is an abundant number, since it is smaller than the sum of its proper divisors (39763183968).

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

18368013312 is a wasteful number, since it uses less digits than its factorization.

18368013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 18368013312 its reverse (21331086381), we get a palindrome (39699099693).

The spelling of 18368013312 in words is "eighteen billion, three hundred sixty-eight million, thirteen thousand, three hundred twelve".