Search a number
-
+
5327442577408 = 211731118710099
BaseRepresentation
bin100110110000110010001…
…0100101000100000000000
3200212022001122002112021011
41031201210110220200000
51144241100244434113
615155220543210304
71056615664514020
oct115414424504000
920768048075234
105327442577408
1117743a04a33a6
127205b18a6994
132c84b64a1a53
14145bc7415a80
15938a423963d
hex4d864528800

5327442577408 has 192 divisors, whose sum is σ = 12578582016000. Its totient is φ = 2207458344960.

The previous prime is 5327442577393. The next prime is 5327442577441. The reversal of 5327442577408 is 8047752447235.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527516743 + ... + 527526841.

It is an arithmetic number, because the mean of its divisors is an integer number (65513448000).

Almost surely, 25327442577408 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 5327442577408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289291008000).

5327442577408 is an abundant number, since it is smaller than the sum of its proper divisors (7251139438592).

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

5327442577408 is a wasteful number, since it uses less digits than its factorization.

5327442577408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11346 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 58.

The spelling of 5327442577408 in words is "five trillion, three hundred twenty-seven billion, four hundred forty-two million, five hundred seventy-seven thousand, four hundred eight".