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2625206311112 = 2371131161984913
BaseRepresentation
bin100110001100111010011…
…111010101100011001000
3100021222010010211011220112
4212030322133111203020
5321002410303423422
65330000402013452
7360444026315420
oct46147237254310
910258103734815
102625206311112
11922386583a60
12364948347288
1316072c3b1b68
14910bc663480
154844abc1ee2
hex2633a7d58c8

2625206311112 has 128 divisors (see below), whose sum is σ = 6338796134400. Its totient is φ = 989190835200.

The previous prime is 2625206311103. The next prime is 2625206311129. The reversal of 2625206311112 is 2111136025262.

2625206311112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30873968 + ... + 30958880.

It is an arithmetic number, because the mean of its divisors is an integer number (49521844800).

Almost surely, 22625206311112 is an apocalyptic number.

2625206311112 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 2625206311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169398067200).

2625206311112 is an abundant number, since it is smaller than the sum of its proper divisors (3713589823288).

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

2625206311112 is a wasteful number, since it uses less digits than its factorization.

2625206311112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86587 (or 86583 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 2625206311112 in words is "two trillion, six hundred twenty-five billion, two hundred six million, three hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1364 1619 1736 2387 2728 3238 4774 6476 9548 11333 12952 17809 19096 22666 35618 45332 50189 71236 84913 90664 100378 124663 142472 169826 200756 249326 339652 351323 401512 498652 552079 594391 679304 702646 934043 997304 1104158 1188782 1405292 1868086 2208316 2377564 2632303 2810584 3736172 3864553 4416632 4755128 5264606 6538301 7472344 7729106 10529212 13076602 15458212 18426121 21058424 26153204 28955333 30916424 36852242 52306408 57910666 73704484 115821332 137474147 147408968 202687331 231642664 274948294 405374662 549896588 810749324 962319029 1099793176 1512215617 1621498648 1924638058 3024431234 3849276116 4261698557 6048862468 7698552232 8523397114 10585509319 12097724936 17046794228 21171018638 29831889899 34093588456 42342037276 46878684127 59663779798 84684074552 93757368254 119327559596 187514736508 238655119192 328150788889 375029473016 656301577778 1312603155556 2625206311112