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5083503336 = 2332177356893
BaseRepresentation
bin1001011110000000…
…00001101011101000
3111010021111201121100
410233000001223220
540402334101321
62200233041400
7236655031302
oct45700015350
914107451540
105083503336
11217956132a
12b9a556260
13630247752
143631da972
151eb44d326
hex12f001ae8

5083503336 has 96 divisors (see below), whose sum is σ = 14777647560. Its totient is φ = 1572950016.

The previous prime is 5083503283. The next prime is 5083503361. The reversal of 5083503336 is 6333053805.

It can be written as a sum of positive squares in 4 ways, for example, as 4276375236 + 807128100 = 65394^2 + 28410^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5083503336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60906 + ... + 117798.

Almost surely, 25083503336 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 5083503336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388823780).

5083503336 is an abundant number, since it is smaller than the sum of its proper divisors (9694144224).

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

5083503336 is a wasteful number, since it uses less digits than its factorization.

5083503336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56995 (or 56988 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 5083503336 is about 71298.6909837761. The cubic root of 5083503336 is about 1719.4426867549.

The spelling of 5083503336 in words is "five billion, eighty-three million, five hundred three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 73 102 136 146 153 204 219 292 306 408 438 584 612 657 876 1224 1241 1314 1752 2482 2628 3723 4964 5256 7446 9928 11169 14892 22338 29784 44676 56893 89352 113786 170679 227572 341358 455144 512037 682716 967181 1024074 1365432 1934362 2048148 2901543 3868724 4096296 4153189 5803086 7737448 8306378 8704629 11606172 12459567 16612756 17409258 23212344 24919134 33225512 34818516 37378701 49838268 69637032 70604213 74757402 99676536 141208426 149514804 211812639 282416852 299029608 423625278 564833704 635437917 847250556 1270875834 1694501112 2541751668 5083503336