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5111424000 = 21034531729
BaseRepresentation
bin1001100001010101…
…00010010000000000
3111012020001020120000
410300222202100000
540432011032000
62203111320000
7240444246534
oct46052422000
914166036500
105111424000
1121932a1561
12ba7980000
13635c72157
14366bc7bc4
151edb16000
hex130aa2400

5111424000 has 880 divisors, whose sum is σ = 20865152880. Its totient is φ = 1238630400.

The previous prime is 5111423987. The next prime is 5111424007. The reversal of 5111424000 is 4241115.

It can be written as a sum of positive squares in 8 ways, for example, as 949625856 + 4161798144 = 30816^2 + 64512^2 .

It is a super-2 number, since 2×51114240002 = 52253310615552000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5111424007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176255986 + ... + 176256014.

It is an arithmetic number, because the mean of its divisors is an integer number (23710401).

Almost surely, 25111424000 is an apocalyptic number.

5111424000 is a gapful number since it is divisible by the number (50) 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 5111424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10432576440).

5111424000 is an abundant number, since it is smaller than the sum of its proper divisors (15753728880).

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

5111424000 is a wasteful number, since it uses less digits than its factorization.

5111424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5111424000 is about 71494.2235428849. The cubic root of 5111424000 is about 1722.5849000713.

Adding to 5111424000 its reverse (4241115), we get a palindrome (5115665115).

The spelling of 5111424000 in words is "five billion, one hundred eleven million, four hundred twenty-four thousand".