Search a number
-
+
5117703120 = 243451746457
BaseRepresentation
bin1001100010000100…
…11111001111010000
3111012122212020220000
410301002133033100
540440112444440
62203454050000
7240551521155
oct46102371720
914178766800
105117703120
1121968a0112
12ba9aa9900
136373601ca
1436798022c
151ee456730
hex13109f3d0

5117703120 has 200 divisors, whose sum is σ = 18820507464. Its totient is φ = 1284415488.

The previous prime is 5117702977. The next prime is 5117703121. The reversal of 5117703120 is 213077115.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1906894224 + 3210808896 = 43668^2 + 56664^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117703121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86932 + ... + 133388.

Almost surely, 25117703120 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 5117703120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9410253732).

5117703120 is an abundant number, since it is smaller than the sum of its proper divisors (13702804344).

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

5117703120 is a wasteful number, since it uses less digits than its factorization.

5117703120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46499 (or 46484 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 5117703120 is about 71538.1235426259. The cubic root of 5117703120 is about 1723.2899802488.

The spelling of 5117703120 in words is "five billion, one hundred seventeen million, seven hundred three thousand, one hundred twenty".