Search a number
-
+
12566334330 = 236511156707
BaseRepresentation
bin10111011010000001…
…10000101101111010
31012102202202221000000
423231000300231322
5201213440144310
65434540053430
7623256036144
oct135500605572
935382687000
1012566334330
115369405a80
122528534276
1312535a3ab4
14872d1dc94
154d833d4c0
hex2ed030b7a

12566334330 has 112 divisors (see below), whose sum is σ = 36996878304. Its totient is φ = 3046364640.

The previous prime is 12566334311. The next prime is 12566334419. The reversal of 12566334330 is 3343366521.

12566334330 is a `hidden beast` number, since 1 + 256 + 63 + 343 + 3 + 0 = 666.

12566334330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 1837 + ... + 158543.

Almost surely, 212566334330 is an apocalyptic number.

12566334330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12566334330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498439152).

12566334330 is an abundant number, since it is smaller than the sum of its proper divisors (24430543974).

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

12566334330 is a wasteful number, since it uses less digits than its factorization.

12566334330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156743 (or 156728 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 12566334330 in words is "twelve billion, five hundred sixty-six million, three hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 729 810 891 990 1215 1458 1485 1782 2430 2673 2970 3645 4455 5346 7290 8019 8910 13365 16038 26730 40095 80190 156707 313414 470121 783535 940242 1410363 1567070 1723777 2350605 2820726 3447554 4231089 4701210 5171331 7051815 8462178 8618885 10342662 12693267 14103630 15513993 17237770 21155445 25386534 25856655 31027986 38079801 42310890 46541979 51713310 63466335 76159602 77569965 93083958 114239403 126932670 139625937 155139930 190399005 228478806 232709895 279251874 380798010 418877811 465419790 571197015 698129685 837755622 1142394030 1256633433 1396259370 2094389055 2513266866 4188778110 6283167165 12566334330