Search a number
-
+
14721894720 = 2633513131071
BaseRepresentation
bin11011011010111111…
…00100100101000000
31101222222211201222000
431231133210211000
5220122301112340
610432501144000
71030552016601
oct155537444500
941888751860
1014721894720
116275142445
122a2a3bb000
131508045c10
149d930dda8
155b26ccd30
hex36d7e4940

14721894720 has 224 divisors, whose sum is σ = 55931043840. Its totient is φ = 3623823360.

The previous prime is 14721894703. The next prime is 14721894721. The reversal of 14721894720 is 2749812741.

14721894720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14721894721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 46785 + ... + 177855.

It is an arithmetic number, because the mean of its divisors is an integer number (249692160).

Almost surely, 214721894720 is an apocalyptic number.

14721894720 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 14721894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27965521920).

14721894720 is an abundant number, since it is smaller than the sum of its proper divisors (41209149120).

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

14721894720 is a wasteful number, since it uses less digits than its factorization.

14721894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131110 (or 131094 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 14721894720 in words is "fourteen billion, seven hundred twenty-one million, eight hundred ninety-four thousand, seven hundred twenty".