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11640041226 = 2331179248051
BaseRepresentation
bin10101101011100110…
…01110111100001010
31010001012210100202000
422311303032330022
5142314322304401
65203010251430
7561310501152
oct126563167412
933035710660
1011640041226
114a33555290
12230a286b76
131136702778
147c5cbb762
15481d6b186
hex2b5ccef0a

11640041226 has 64 divisors (see below), whose sum is σ = 28575590400. Its totient is φ = 3482622000.

The previous prime is 11640041183. The next prime is 11640041243. The reversal of 11640041226 is 62214004611.

11640041226 is a `hidden beast` number, since 1 + 1 + 640 + 0 + 4 + 12 + 2 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11640041226.

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 31 ways as a sum of consecutive naturals, for example, 77100 + ... + 170951.

It is an arithmetic number, because the mean of its divisors is an integer number (446493600).

Almost surely, 211640041226 is an apocalyptic number.

11640041226 is an abundant number, since it is smaller than the sum of its proper divisors (16935549174).

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

11640041226 is a wasteful number, since it uses less digits than its factorization.

11640041226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248152 (or 248146 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11640041226 its reverse (62214004611), we get a palindrome (73854045837).

The spelling of 11640041226 in words is "eleven billion, six hundred forty million, forty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 99 158 198 237 297 474 594 711 869 1422 1738 2133 2607 4266 5214 7821 15642 23463 46926 248051 496102 744153 1488306 2232459 2728561 4464918 5457122 6697377 8185683 13394754 16371366 19596029 24557049 39192058 49114098 58788087 73671147 117576174 147342294 176364261 215556319 352728522 431112638 529092783 646668957 1058185566 1293337914 1940006871 3880013742 5820020613 11640041226