Search a number
-
+
15368973840 = 243251119109937
BaseRepresentation
bin11100101000000111…
…11110111000010000
31110200002102202122100
432110003332320100
5222433424130330
611021014240400
71052600056623
oct162403767020
943602382570
1015368973840
116577426580
122b8b056100
1315ac11657c
14a5b22ddba
155ee3ea060
hex3940fee10

15368973840 has 480 divisors, whose sum is σ = 59877417600. Its totient is φ = 3493601280.

The previous prime is 15368973833. The next prime is 15368973863. The reversal of 15368973840 is 4837986351.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16401852 + ... + 16402788.

It is an arithmetic number, because the mean of its divisors is an integer number (124744620).

Almost surely, 215368973840 is an apocalyptic number.

15368973840 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 15368973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29938708800).

15368973840 is an abundant number, since it is smaller than the sum of its proper divisors (44508443760).

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

15368973840 is a wasteful number, since it uses less digits than its factorization.

15368973840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 153689 and 73840, that added together give a square (227529 = 4772).

The spelling of 15368973840 in words is "fifteen billion, three hundred sixty-eight million, nine hundred seventy-three thousand, eight hundred forty".