Search a number
-
+
5346506880 = 2732511136491
BaseRepresentation
bin1001111101010110…
…10011100010000000
3111210121101200122100
410332223103202000
541422201210010
62242310110400
7246330362421
oct47653234200
914717350570
105346506880
1122a3a66830
12105264b400
13672890b50
1438a0dd648
152145a02c0
hex13ead3880

5346506880 has 384 divisors, whose sum is σ = 21693147840. Its totient is φ = 1196236800.

The previous prime is 5346506861. The next prime is 5346506909. The reversal of 5346506880 is 886056435.

5346506880 is a `hidden beast` number, since 53 + 465 + 0 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820435 + ... + 826925.

Almost surely, 25346506880 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 5346506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10846573920).

5346506880 is an abundant number, since it is smaller than the sum of its proper divisors (16346640960).

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

5346506880 is a wasteful number, since it uses less digits than its factorization.

5346506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540 (or 6525 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5346506880 is about 73119.8118159504. The cubic root of 5346506880 is about 1748.5982658227.

The spelling of 5346506880 in words is "five billion, three hundred forty-six million, five hundred six thousand, eight hundred eighty".