Search a number
-
+
10816860474 = 23371913111497
BaseRepresentation
bin10100001001011110…
…00011000100111010
31000220211211110001000
422010233003010322
5134123104013344
64545202505430
7532023540240
oct120457030472
930824743030
1010816860474
114650921412
12211a665276
131034cc4774
1474883a790
15434965a69
hex284bc313a

10816860474 has 128 divisors (see below), whose sum is σ = 29140531200. Its totient is φ = 2905269120.

The previous prime is 10816860443. The next prime is 10816860499. The reversal of 10816860474 is 47406861801.

10816860474 is a `hidden beast` number, since 10 + 8 + 168 + 6 + 0 + 474 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 935094 + ... + 946590.

It is an arithmetic number, because the mean of its divisors is an integer number (227660400).

Almost surely, 210816860474 is an apocalyptic number.

10816860474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10816860474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14570265600).

10816860474 is an abundant number, since it is smaller than the sum of its proper divisors (18323670726).

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

10816860474 is a wasteful number, since it uses less digits than its factorization.

10816860474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11665 (or 11659 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10816860474 in words is "ten billion, eight hundred sixteen million, eight hundred sixty thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 131 133 171 189 262 266 342 378 393 399 513 786 798 917 1026 1179 1197 1834 2358 2394 2489 2751 3537 3591 4978 5502 7074 7182 7467 8253 11497 14934 16506 17423 22401 22994 24759 34491 34846 44802 49518 52269 67203 68982 80479 103473 104538 134406 156807 160958 206946 218443 241437 310419 313614 436886 470421 482874 620838 655329 724311 940842 1310658 1448622 1506107 1529101 1965987 2172933 3012214 3058202 3931974 4345866 4518321 4587303 5897961 9036642 9174606 10542749 11795922 13554963 13761909 21085498 27109926 27523818 28616033 31628247 40664889 41285727 57232066 63256494 81329778 82571454 85848099 94884741 171696198 189769482 200312231 257544297 284654223 400624462 515088594 569308446 600936693 772632891 1201873386 1545265782 1802810079 3605620158 5408430237 10816860474