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8058137841 = 3213219726893
BaseRepresentation
bin1111000000100110…
…10110110011110001
3202210120210211000200
413200103112303301
5113000340402331
63411333505413
7403455020145
oct74023266361
922716724020
108058137841
113465677256
12168a7a2269
139b55ba600
145662bd225
153226815e6
hex1e04d6cf1

8058137841 has 36 divisors (see below), whose sum is σ = 12668203548. Its totient is φ = 4933498752.

The previous prime is 8058137803. The next prime is 8058137849. The reversal of 8058137841 is 1487318508.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 361760400 + 7696377441 = 19020^2 + 87729^2 .

It is not a de Polignac number, because 8058137841 - 211 = 8058135793 is a prime.

It is a super-2 number, since 2×80581378412 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8058137849) 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 35 ways as a sum of consecutive naturals, for example, 286191 + ... + 313083.

It is an arithmetic number, because the mean of its divisors is an integer number (351894543).

Almost surely, 28058137841 is an apocalyptic number.

It is an amenable number.

8058137841 is a deficient number, since it is larger than the sum of its proper divisors (4610065707).

8058137841 is a wasteful number, since it uses less digits than its factorization.

8058137841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27122 (or 27106 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 8058137841 is about 89767.1311839696. The cubic root of 8058137841 is about 2004.8331310971.

The spelling of 8058137841 in words is "eight billion, fifty-eight million, one hundred thirty-seven thousand, eight hundred forty-one".

Divisors: 1 3 9 13 39 117 169 197 507 591 1521 1773 2561 7683 23049 26893 33293 80679 99879 242037 299637 349609 1048827 3146481 4544917 5297921 13634751 15893763 40904253 47681289 68872973 206618919 619856757 895348649 2686045947 8058137841