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1133963217084 = 22317213113917957
BaseRepresentation
bin10000100000000101011…
…110011000100010111100
311000101221211211221212210
4100200011132120202330
5122034324040421314
62224534023100420
7144632444211105
oct20400536304274
94011854757783
101133963217084
113a7a02745745
12163929ba1710
1382c17283629
143cc5400d3ac
151e76c4d6559
hex108057988bc

1133963217084 has 144 divisors (see below), whose sum is σ = 2852701568640. Its totient is φ = 350478136320.

The previous prime is 1133963217043. The next prime is 1133963217089. The reversal of 1133963217084 is 4807123693311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133963217089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63139834 + ... + 63157790.

It is an arithmetic number, because the mean of its divisors is an integer number (19810427560).

Almost surely, 21133963217084 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 1133963217084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426350784320).

1133963217084 is an abundant number, since it is smaller than the sum of its proper divisors (1718738351556).

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

1133963217084 is a wasteful number, since it uses less digits than its factorization.

1133963217084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18268 (or 18249 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 1133963217084 in words is "one trillion, one hundred thirty-three billion, nine hundred sixty-three million, two hundred seventeen thousand, eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 131 139 204 262 278 289 393 417 524 556 578 786 834 867 1156 1572 1668 1734 2227 2363 3468 4454 4726 6681 7089 8908 9452 13362 14178 17957 18209 26724 28356 35914 36418 37859 40171 53871 54627 71828 72836 75718 80342 107742 109254 113577 120513 151436 160684 215484 218508 227154 241026 305269 309553 454308 482052 610538 619106 915807 928659 1221076 1238212 1831614 1857318 2352367 2496023 3663228 3714636 4704734 4992046 5189573 5262401 7057101 7488069 9409468 9984092 10379146 10524802 14114202 14976138 15568719 15787203 20758292 21049604 28228404 29952276 31137438 31574406 39990239 42432391 62274876 63148812 79980478 84864782 119970717 127297173 159960956 169729564 239941434 254594346 326979013 479882868 509188692 653958026 679834063 721350647 980937039 1307916052 1359668126 1442701294 1961874078 2039502189 2164051941 2719336252 2885402588 3923748156 4079004378 4328103882 5558643221 8158008756 8656207764 11117286442 16675929663 22234572884 33351859326 66703718652 94496934757 188993869514 283490804271 377987739028 566981608542 1133963217084