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5125026816 = 21034721397
BaseRepresentation
bin1001100010111100…
…11011010000000000
3111020011122100010000
410301132123100000
540444001324231
62204315040000
7241001003100
oct46136332000
914204570100
105125026816
11219aa42558
12bb0440000
13638a25860
14368929200
151eee016e6
hex13179b400

5125026816 has 660 divisors, whose sum is σ = 19370114148. Its totient is φ = 1337720832.

The previous prime is 5125026811. The next prime is 5125026821. The reversal of 5125026816 is 6186205215.

It is an interprime number because it is at equal distance from previous prime (5125026811) and next prime (5125026821).

It can be written as a sum of positive squares in 2 ways, for example, as 1467196416 + 3657830400 = 38304^2 + 60480^2 .

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 (5125026811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52835280 + ... + 52835376.

Almost surely, 25125026816 is an apocalyptic number.

5125026816 is a gapful number since it is divisible by the number (56) 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 5125026816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9685057074).

5125026816 is an abundant number, since it is smaller than the sum of its proper divisors (14245087332).

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

5125026816 is a wasteful number, since it uses less digits than its factorization.

5125026816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5125026816 is about 71589.2926072049. The cubic root of 5125026816 is about 1724.1116272558. Note that the first 3 decimals are identical.

The spelling of 5125026816 in words is "five billion, one hundred twenty-five million, twenty-six thousand, eight hundred sixteen".