Search a number
-
+
5195494656 = 283311232971
BaseRepresentation
bin1001101011010110…
…01111010100000000
3111102002020110211000
410311223033110000
541120021312111
62215313252000
7242514655512
oct46553172400
914362213730
105195494656
1122267a3040
12100bb64000
1364a4c92c1
1437402dbb2
152061c0c56
hex135acf500

5195494656 has 288 divisors, whose sum is σ = 17495331840. Its totient is φ = 1505433600.

The previous prime is 5195494649. The next prime is 5195494663. The reversal of 5195494656 is 6564945915.

5195494656 is a `hidden beast` number, since 5 + 1 + 9 + 549 + 46 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (5195494649) and next prime (5195494663).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1747251 + ... + 1750221.

It is an arithmetic number, because the mean of its divisors is an integer number (60747680).

Almost surely, 25195494656 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 5195494656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8747665920).

5195494656 is an abundant number, since it is smaller than the sum of its proper divisors (12299837184).

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

5195494656 is a wasteful number, since it uses less digits than its factorization.

5195494656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3010 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 5195494656 is about 72079.7797998856. The cubic root of 5195494656 is about 1731.9777192951.

The spelling of 5195494656 in words is "five billion, one hundred ninety-five million, four hundred ninety-four thousand, six hundred fifty-six".