Search a number
-
+
828864621336 = 233235925450277
BaseRepresentation
bin11000000111111000010…
…11100110101100011000
32221020110000000102122010
430003330023212230120
5102040003320340321
61432435233225520
7113612016015003
oct14037413465430
92836400012563
10828864621336
1129a579519a54
121147811022a0
136021405487b
142c18daa253a
15168623e7676
hexc0fc2e6b18

828864621336 has 64 divisors (see below), whose sum is σ = 2198904019200. Its totient is φ = 259796417408.

The previous prime is 828864621289. The next prime is 828864621373. The reversal of 828864621336 is 633126468828.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12692571 + ... + 12757706.

It is an arithmetic number, because the mean of its divisors is an integer number (34357875300).

Almost surely, 2828864621336 is an apocalyptic number.

It is an amenable number.

828864621336 is an abundant number, since it is smaller than the sum of its proper divisors (1370039397864).

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

828864621336 is a wasteful number, since it uses less digits than its factorization.

828864621336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25450368 (or 25450364 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 57.

The spelling of 828864621336 in words is "eight hundred twenty-eight billion, eight hundred sixty-four million, six hundred twenty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 59 69 92 118 138 177 184 236 276 354 472 552 708 1357 1416 2714 4071 5428 8142 10856 16284 32568 25450277 50900554 76350831 101801108 152701662 203602216 305403324 585356371 610806648 1170712742 1501566343 1756069113 2341425484 3003132686 3512138226 4504699029 4682850968 6006265372 7024276452 9009398058 12012530744 14048552904 18018796116 34536025889 36037592232 69072051778 103608077667 138144103556 207216155334 276288207112 414432310668 828864621336