Search a number
-
+
15189010200 = 233252721321019
BaseRepresentation
bin11100010010101010…
…11110011100011000
31110012112210122221100
432021111132130120
5222101341311300
610551105111400
71045253312400
oct161125363430
943175718840
1015189010200
1164948891a1
122b3a928560
131580a56100
14a41385800
155dd6ec700
hex38955e718

15189010200 has 648 divisors, whose sum is σ = 64316502900. Its totient is φ = 3201569280.

The previous prime is 15189010169. The next prime is 15189010261. The reversal of 15189010200 is 201098151.

15189010200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 14905291 + ... + 14906309.

Almost surely, 215189010200 is an apocalyptic number.

15189010200 is a gapful number since it is divisible by the number (10) 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 15189010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32158251450).

15189010200 is an abundant number, since it is smaller than the sum of its proper divisors (49127492700).

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

15189010200 is a wasteful number, since it uses less digits than its factorization.

15189010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 15189010200 in words is "fifteen billion, one hundred eighty-nine million, ten thousand, two hundred".