Search a number
-
+
5118190272 = 26321317311297
BaseRepresentation
bin1001100010001000…
…10110001011000000
3111012200210000010200
410301010112023000
540440224042042
62203512325200
7240555620346
oct46104261300
914180700120
105118190272
1121970a3118
12baa0a3800
136374a0b70
14367a69996
151ee500c4c
hex1311162c0

5118190272 has 336 divisors, whose sum is σ = 17281135872. Its totient is φ = 1433272320.

The previous prime is 5118190267. The next prime is 5118190291. The reversal of 5118190272 is 2720918115.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3945528 + ... + 3946824.

It is an arithmetic number, because the mean of its divisors is an integer number (51431952).

Almost surely, 25118190272 is an apocalyptic number.

5118190272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5118190272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640567936).

5118190272 is an abundant number, since it is smaller than the sum of its proper divisors (12162945600).

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

5118190272 is a wasteful number, since it uses less digits than its factorization.

5118190272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 5118190272 is about 71541.5283034966. The cubic root of 5118190272 is about 1723.3446582625.

The spelling of 5118190272 in words is "five billion, one hundred eighteen million, one hundred ninety thousand, two hundred seventy-two".