Search a number
-
+
5249474334720 = 212355721119103
BaseRepresentation
bin100110001100011110100…
…0011011001000000000000
3200120211210220002102100000
41030120331003121000000
51142001410412202340
615055324125200000
71051155603422100
oct114307503310000
920524726072300
105249474334720
1117443204546a0
12709472400000
132c103c2830c5
1414210c441200
159183e302d30
hex4c63d0d9000

5249474334720 has 3744 divisors, whose sum is σ = 25451242951680. Its totient is φ = 1023356436480.

The previous prime is 5249474334547. The next prime is 5249474334721. The reversal of 5249474334720 is 274334749425.

5249474334720 is a `hidden beast` number, since 5 + 249 + 47 + 4 + 334 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5249474334721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50965770189 + ... + 50965770291.

It is an arithmetic number, because the mean of its divisors is an integer number (6797874720).

Almost surely, 25249474334720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5249474334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12725621475840).

5249474334720 is an abundant number, since it is smaller than the sum of its proper divisors (20201768616960).

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

5249474334720 is a wasteful number, since it uses less digits than its factorization.

5249474334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 5249474334720 in words is "five trillion, two hundred forty-nine billion, four hundred seventy-four million, three hundred thirty-four thousand, seven hundred twenty".