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2572056981612 = 22323110727179481
BaseRepresentation
bin100101011011011010100…
…010101111000001101100
3100002212221001222111101100
4211123122202233001230
5314120033041402422
65245330415243100
7353552653422126
oct45333242570154
910085831874340
102572056981612
11901892127058
12356594819490
1315870c034c71
148c6b9978216
1546d89adc7ac
hex256da8af06c

2572056981612 has 144 divisors (see below), whose sum is σ = 6799121731584. Its totient is φ = 818898336000.

The previous prime is 2572056981607. The next prime is 2572056981631. The reversal of 2572056981612 is 2161896502752.

2572056981612 is a `hidden beast` number, since 2 + 5 + 72 + 0 + 569 + 8 + 1 + 6 + 1 + 2 = 666.

2572056981612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25720569816122 (a number of 26 digits) contains 22 as substring.

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, 32320912 + ... + 32400392.

It is an arithmetic number, because the mean of its divisors is an integer number (47216123136).

Almost surely, 22572056981612 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 2572056981612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399560865792).

2572056981612 is an abundant number, since it is smaller than the sum of its proper divisors (4227064749972).

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

2572056981612 is a wasteful number, since it uses less digits than its factorization.

2572056981612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79900 (or 79895 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 2572056981612 in words is "two trillion, five hundred seventy-two billion, fifty-six million, nine hundred eighty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 107 124 186 214 271 279 321 372 428 542 558 642 813 963 1084 1116 1284 1626 1926 2439 3252 3317 3852 4878 6634 8401 9756 9951 13268 16802 19902 25203 28997 29853 33604 39804 50406 57994 59706 75609 79481 86991 100812 115988 119412 151218 158962 173982 238443 260973 302436 317924 347964 476886 521946 715329 898907 953772 1043892 1430658 1797814 2463911 2696721 2861316 3595628 4927822 5393442 7391733 8090163 8504467 9855644 10786884 14783466 16180326 17008934 21539351 22175199 25513401 29566932 32360652 34017868 43078702 44350398 51026802 64618053 76540203 86157404 88700796 102053604 129236106 153080406 193854159 258472212 263638477 306160812 387708318 527276954 667719881 775416636 790915431 1054553908 1335439762 1581830862 2003159643 2304710557 2372746293 2670879524 3163661724 4006319286 4609421114 4745492586 6009478929 6914131671 8012638572 9218842228 9490985172 12018957858 13828263342 20742395013 24037915716 27656526684 41484790026 71446027267 82969580052 142892054534 214338081801 285784109068 428676163602 643014245403 857352327204 1286028490806 2572056981612