Search a number
-
+
11640820212 = 223271913917491
BaseRepresentation
bin10101101011101100…
…01101000111110100
31010001021020221022100
422311312031013310
5142320022221322
65203035102100
7561320224230
oct126566150764
933037227270
1011640820212
114a33a3757a
12230a5a1930
1311369161c8
147c60415c0
15481e71dac
hex2b5d8d1f4

11640820212 has 144 divisors (see below), whose sum is σ = 35655692800. Its totient is φ = 3128051520.

The previous prime is 11640820189. The next prime is 11640820241. The reversal of 11640820212 is 21202804611.

11640820212 is a `hidden beast` number, since 1 + 1 + 640 + 8 + 2 + 0 + 2 + 12 = 666.

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 47 ways as a sum of consecutive naturals, for example, 656787 + ... + 674277.

Almost surely, 211640820212 is an apocalyptic number.

11640820212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11640820212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17827846400).

11640820212 is an abundant number, since it is smaller than the sum of its proper divisors (24014872588).

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

11640820212 is a wasteful number, since it uses less digits than its factorization.

11640820212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17666 (or 17661 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 11640820212 in words is "eleven billion, six hundred forty million, eight hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 139 171 228 252 266 278 342 399 417 532 556 684 798 834 973 1197 1251 1596 1668 1946 2394 2502 2641 2919 3892 4788 5004 5282 5838 7923 8757 10564 11676 15846 17491 17514 18487 23769 31692 34982 35028 36974 47538 52473 55461 69964 73948 95076 104946 110922 122437 157419 166383 209892 221844 244874 314838 332329 332766 367311 489748 629676 664658 665532 734622 996987 1101933 1329316 1469244 1993974 2203866 2326303 2431249 2990961 3987948 4407732 4652606 4862498 5981922 6978909 7293747 9305212 9724996 11963844 13957818 14587494 17018743 20936727 21881241 27915636 29174988 34037486 41873454 43762482 46193731 51056229 68074972 83746908 87524964 92387462 102112458 138581193 153168687 184774924 204224916 277162386 306337374 323356117 415743579 554324772 612674748 646712234 831487158 970068351 1293424468 1662974316 1940136702 2910205053 3880273404 5820410106 11640820212