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2084060568906 = 23516326939769
BaseRepresentation
bin11110010100111011101…
…100001001110101001010
321101020022202122012100000
4132110323230021311022
5233121124001201111
64233223150423430
7303365651360001
oct36247354116512
97336282565300
102084060568906
11733932950438
12297aa3801b76
131216aba06784
1472c24a27c38
1539327bd7c56
hex1e53bb09d4a

2084060568906 has 96 divisors (see below), whose sum is σ = 4713664213440. Its totient is φ = 690097947264.

The previous prime is 2084060568883. The next prime is 2084060568911. The reversal of 2084060568906 is 6098650604802.

It is a happy number.

2084060568906 is a `hidden beast` number, since 20 + 8 + 4 + 0 + 605 + 6 + 8 + 9 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213329190 + ... + 213338958.

It is an arithmetic number, because the mean of its divisors is an integer number (49100668890).

Almost surely, 22084060568906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084060568906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356832106720).

2084060568906 is an abundant number, since it is smaller than the sum of its proper divisors (2629603644534).

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

2084060568906 is a wasteful number, since it uses less digits than its factorization.

2084060568906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12642 (or 12630 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2084060568906 in words is "two trillion, eighty-four billion, sixty million, five hundred sixty-eight thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 243 326 486 489 978 1467 2693 2934 4401 5386 8079 8802 9769 13203 16158 19538 24237 26406 29307 39609 48474 58614 72711 79218 87921 145422 175842 218133 263763 436266 438959 527526 654399 791289 877918 1308798 1316877 1582578 1592347 2373867 2633754 3184694 3950631 4747734 4777041 7901262 9554082 11851893 14331123 23703786 26307917 28662246 35555679 42993369 52615834 71111358 78923751 85986738 106667037 128980107 157847502 213334074 236771253 257960214 386940321 473542506 710313759 773880642 1420627518 2130941277 4261882554 4288190471 6392823831 8576380942 12785647662 12864571413 25729142826 38593714239 77187428478 115781142717 231562285434 347343428151 694686856302 1042030284453 2084060568906