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5051182032 = 2434131731733
BaseRepresentation
bin1001011010001001…
…01110101111010000
3111001000200122010000
410231010232233100
540321100311112
62153120210000
7236113224141
oct45504565720
914030618100
105051182032
112162295906
12b8b769900
1362663c010
1435cbc5ac8
151e86b67dc
hex12d12ebd0

5051182032 has 200 divisors, whose sum is σ = 15844314024. Its totient is φ = 1544334336.

The previous prime is 5051181991. The next prime is 5051182057. The reversal of 5051182032 is 2302811505.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 800663616 + 4250518416 = 28296^2 + 65196^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5051181987 and 5051182005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2913838 + ... + 2915570.

Almost surely, 25051182032 is an apocalyptic number.

5051182032 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 5051182032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7922157012).

5051182032 is an abundant number, since it is smaller than the sum of its proper divisors (10793131992).

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

5051182032 is a wasteful number, since it uses less digits than its factorization.

5051182032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5051182032 is about 71071.6682792799. The cubic root of 5051182032 is about 1715.7908200202.

Adding to 5051182032 its reverse (2302811505), we get a palindrome (7353993537).

The spelling of 5051182032 in words is "five billion, fifty-one million, one hundred eighty-two thousand, thirty-two".