Search a number
-
+
2104284602992 = 24111331715491873
BaseRepresentation
bin11110100111110001001…
…000101110001001110000
321110011112012201120120111
4132213301020232021300
5233434033324243432
64250410041551104
7305013064001335
oct36476110561160
97404465646514
102104284602992
117414708885a0
1229b9a87a5494
13123582932050
1473bc298a98c
1539b0d459347
hex1e9f122e270

2104284602992 has 160 divisors (see below), whose sum is σ = 4810601476800. Its totient is φ = 879093596160.

The previous prime is 2104284602977. The next prime is 2104284602993. The reversal of 2104284602992 is 2992064824012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104284602993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123482568 + ... + 1123484440.

It is an arithmetic number, because the mean of its divisors is an integer number (30066259230).

Almost surely, 22104284602992 is an apocalyptic number.

2104284602992 is a gapful number since it is divisible by the number (22) 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 2104284602992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405300738400).

2104284602992 is an abundant number, since it is smaller than the sum of its proper divisors (2706316873808).

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

2104284602992 is a wasteful number, since it uses less digits than its factorization.

2104284602992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 2104284602992 in words is "two trillion, one hundred four billion, two hundred eighty-four million, six hundred two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 317 572 634 1144 1268 1549 1873 2288 2536 3098 3487 3746 4121 5072 6196 6974 7492 8242 12392 13948 14984 16484 17039 20137 20603 24349 24784 27896 29968 32968 34078 40274 41206 45331 48698 55792 65936 68156 80548 82412 90662 97396 136312 161096 164824 181324 194792 221507 267839 272624 322192 329648 362648 389584 443014 491033 535678 593741 725296 886028 982066 1071356 1187482 1772056 1964132 2142712 2374964 2901277 3544112 3928264 4285424 4749928 5401363 5802554 6383429 6531151 7718633 7856528 9499856 10802726 11605108 12766858 13062302 15437266 21605452 23210216 25533716 26124604 30874532 31914047 37716601 43210904 46420432 51067432 52249208 61749064 63828094 70217719 75433202 84904963 86421808 102134864 104498416 123498128 127656188 140435438 150866404 169809926 255312376 280870876 301732808 339619852 414882611 510624752 561741752 603465616 679239704 829765222 919704809 1123483504 1358479408 1659530444 1839409618 3319060888 3678819236 6638121776 7357638472 10116752899 11956162517 14715276944 20233505798 23912325034 40467011596 47824650068 80934023192 95649300136 131517787687 161868046384 191298600272 263035575374 526071150748 1052142301496 2104284602992