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11132405640 = 2333510307783
BaseRepresentation
bin10100101111000101…
…10000011110001000
31001201211120210122000
422113202300132020
5140244343440030
65040354031000
7542604613056
oct122742603610
931654523560
1011132405640
1147a2a53144
1221a8278460
1310854a6095
147786d91d6
154524e5860
hex2978b0788

11132405640 has 64 divisors (see below), whose sum is σ = 37108022400. Its totient is φ = 2968641216.

The previous prime is 11132405639. The next prime is 11132405657. The reversal of 11132405640 is 4650423111.

It is a happy number.

11132405640 is a `hidden beast` number, since 1 + 1 + 13 + 2 + 4 + 0 + 5 + 640 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5152812 + ... + 5154971.

It is an arithmetic number, because the mean of its divisors is an integer number (579812850).

Almost surely, 211132405640 is an apocalyptic number.

11132405640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132405640 is an abundant number, since it is smaller than the sum of its proper divisors (25975616760).

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

11132405640 is a wasteful number, since it uses less digits than its factorization.

11132405640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307803 (or 10307793 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11132405640 its reverse (4650423111), we get a palindrome (15782828751).

The spelling of 11132405640 in words is "eleven billion, one hundred thirty-two million, four hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 10307783 20615566 30923349 41231132 51538915 61846698 82462264 92770047 103077830 123693396 154616745 185540094 206155660 247386792 278310141 309233490 371080188 412311320 463850235 556620282 618466980 742160376 927700470 1113240564 1236933960 1391550705 1855400940 2226481128 2783101410 3710801880 5566202820 11132405640