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11640041322 = 2371397271811
BaseRepresentation
bin10101101011100110…
…01110111101101010
31010001012210100212120
422311303032331222
5142314322310242
65203010252110
7561310501350
oct126563167552
933035710776
1011640041322
114a33555368
12230a287036
131136702820
147c5cbb7d0
15481d6b1ec
hex2b5ccef6a

11640041322 has 128 divisors (see below), whose sum is σ = 29090439168. Its totient is φ = 3023308800.

The previous prime is 11640041317. The next prime is 11640041341. The reversal of 11640041322 is 22314004611.

It is a junction number, because it is equal to n+sod(n) for n = 11640041292 and 11640041301.

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, 14352297 + ... + 14353107.

It is an arithmetic number, because the mean of its divisors is an integer number (227269056).

Almost surely, 211640041322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11640041322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545219584).

11640041322 is an abundant number, since it is smaller than the sum of its proper divisors (17450397846).

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

11640041322 is a wasteful number, since it uses less digits than its factorization.

11640041322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11640041322 its reverse (22314004611), we get a palindrome (33954045933).

The spelling of 11640041322 in words is "eleven billion, six hundred forty million, forty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 97 182 194 271 273 291 542 546 582 679 811 813 1261 1358 1622 1626 1897 2037 2433 2522 3523 3783 3794 4074 4866 5677 5691 7046 7566 8827 10543 10569 11354 11382 17031 17654 21086 21138 24661 26287 26481 31629 34062 49322 52574 52962 63258 73801 73983 78667 78861 147602 147966 157334 157722 184009 219781 221403 236001 341731 368018 439562 442806 472002 550669 552027 659343 683462 1022671 1025193 1101338 1104054 1318686 1538467 1652007 2045342 2050386 2392117 2857153 3068013 3076934 3304014 4615401 4784234 5714306 6136026 7158697 7176351 8571459 9230802 14317394 14352702 17142918 20000071 21318757 21476091 40000142 42637514 42952182 60000213 63956271 120000426 127912542 149231299 277143841 298462598 447693897 554287682 831431523 895387794 1662863046 1940006887 3880013774 5820020661 11640041322