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5182637040 = 2433573111057
BaseRepresentation
bin1001101001110100…
…01100001111110000
3111101012001020111000
410310322030033300
541103223341130
62214133522000
7242300454660
oct46472141760
914335036430
105182637040
11221a510a09
1210077a3300
13647946b49
143724441a0
15204ed1260
hex134e8c3f0

5182637040 has 320 divisors, whose sum is σ = 21061509120. Its totient is φ = 1146286080.

The previous prime is 5182637003. The next prime is 5182637041. The reversal of 5182637040 is 407362815.

5182637040 is a `hidden beast` number, since 5 + 18 + 2 + 637 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5182636986 and 5182637004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5182637041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463192 + ... + 474248.

It is an arithmetic number, because the mean of its divisors is an integer number (65817216).

Almost surely, 25182637040 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 5182637040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10530754560).

5182637040 is an abundant number, since it is smaller than the sum of its proper divisors (15878872080).

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

5182637040 is a wasteful number, since it uses less digits than its factorization.

5182637040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11117 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5182637040 is about 71990.5343777916. The cubic root of 5182637040 is about 1730.5477944944.

Adding to 5182637040 its reverse (407362815), we get a palindrome (5589999855).

The spelling of 5182637040 in words is "five billion, one hundred eighty-two million, six hundred thirty-seven thousand, forty".