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5041537816 = 2371710152433
BaseRepresentation
bin1001011000111111…
…11100001100011000
3111000100112122201211
410230133330030120
540311113202231
62152133352504
7235635235660
oct45437741430
914010478654
105041537816
1121578a8a87
12b88498734
13624643393
1435b7d51a0
151e790deb1
hex12c7fc318

5041537816 has 64 divisors (see below), whose sum is σ = 11552258880. Its totient is φ = 2013388800.

The previous prime is 5041537789. The next prime is 5041537819. The reversal of 5041537816 is 6187351405.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5041537819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69936 + ... + 122368.

It is an arithmetic number, because the mean of its divisors is an integer number (180504045).

Almost surely, 25041537816 is an apocalyptic number.

5041537816 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 5041537816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5776129440).

5041537816 is an abundant number, since it is smaller than the sum of its proper divisors (6510721064).

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

5041537816 is a wasteful number, since it uses less digits than its factorization.

5041537816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52564 (or 52560 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 5041537816 is about 71003.7873356063. The cubic root of 5041537816 is about 1714.6981384982.

The spelling of 5041537816 in words is "five billion, forty-one million, five hundred thirty-seven thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 101 119 136 202 238 404 476 707 808 952 1414 1717 2828 3434 5656 6868 12019 13736 24038 48076 52433 96152 104866 209732 367031 419464 734062 891361 1468124 1782722 2936248 3565444 5295733 6239527 7130888 10591466 12479054 21182932 24958108 37070131 42365864 49916216 74140262 90027461 148280524 180054922 296561048 360109844 630192227 720219688 1260384454 2520768908 5041537816