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11206614188 = 227211291511187
BaseRepresentation
bin10100110111111011…
…10101110010101100
31001221000012222121202
422123331311302230
5140422343123223
65052004345032
7544465435400
oct123375656254
931830188552
1011206614188
114830929120
1222090a5178
131097989373
147844d5100
15458ca3428
hex29bf75cac

11206614188 has 144 divisors (see below), whose sum is σ = 25937936640. Its totient is φ = 4184208000.

The previous prime is 11206614179. The next prime is 11206614193. The reversal of 11206614188 is 88141660211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9440531 + ... + 9441717.

It is an arithmetic number, because the mean of its divisors is an integer number (180124560).

Almost surely, 211206614188 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 11206614188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968968320).

11206614188 is an abundant number, since it is smaller than the sum of its proper divisors (14731322452).

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

11206614188 is a wasteful number, since it uses less digits than its factorization.

11206614188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The spelling of 11206614188 in words is "eleven billion, two hundred six million, six hundred fourteen thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 58 77 98 116 151 154 196 203 302 308 319 406 539 604 638 812 1057 1078 1187 1276 1421 1661 2114 2156 2233 2374 2842 3322 4228 4379 4466 4748 5684 6644 7399 8309 8758 8932 11627 13057 14798 15631 16618 17516 23254 26114 29596 30653 31262 33236 34423 46508 48169 52228 58163 61306 62524 68846 81389 91399 96338 116326 122612 137692 162778 179237 182798 192676 214571 232652 240961 325556 337183 358474 365596 378653 429142 481922 639793 674366 716948 757306 858284 963844 1254659 1279586 1348732 1514612 1686727 1971607 2360281 2509318 2559172 2650571 3373454 3943214 4720562 5018636 5197873 5301142 6746908 7886428 8782613 9441124 10395746 10602284 13801249 17565226 18553997 20791492 27602498 35130452 36385111 37107994 55204996 57176603 72770222 74215988 96608743 114353206 145540444 193217486 228706412 254695777 386434972 400236221 509391554 800472442 1018783108 1600944884 2801653547 5603307094 11206614188