Search a number
-
+
5056335360 = 29335191383
BaseRepresentation
bin1001011010110000…
…11000111000000000
3111001101101110011000
410231120120320000
540323410212420
62153422452000
7236205066336
oct45530307000
914041343130
105056335360
11216519565a
12b91434000
1362772481b
1435d767b56
151e8d83690
hex12d618e00

5056335360 has 320 divisors, whose sum is σ = 18101698560. Its totient is φ = 1337794560.

The previous prime is 5056335359. The next prime is 5056335367. The reversal of 5056335360 is 635336505.

5056335360 is a `hidden beast` number, since 5 + 0 + 563 + 35 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5056335367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13201729 + ... + 13202111.

It is an arithmetic number, because the mean of its divisors is an integer number (56567808).

Almost surely, 25056335360 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 5056335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050849280).

5056335360 is an abundant number, since it is smaller than the sum of its proper divisors (13045363200).

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

5056335360 is a wasteful number, since it uses less digits than its factorization.

5056335360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

The square root of 5056335360 is about 71107.9134836623. The cubic root of 5056335360 is about 1716.3741176573.

The spelling of 5056335360 in words is "five billion, fifty-six million, three hundred thirty-five thousand, three hundred sixty".