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25828812660 = 2235794165353
BaseRepresentation
bin11000000011100001…
…000110011101110100
32110200001110122001010
4120003201012131310
5410344134001120
615510545032220
71603030166550
oct300341063564
973601418033
1025828812660
11aa54767272
12500a025670
132588166b01
141370492860
15a1283b7e0
hex603846774

25828812660 has 96 divisors (see below), whose sum is σ = 82741300992. Its totient is φ = 5897364480.

The previous prime is 25828812637. The next prime is 25828812671. The reversal of 25828812660 is 6621882852.

It is a happy number.

It is a super-3 number, since 3×258288126603 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

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, 362544 + ... + 427896.

It is an arithmetic number, because the mean of its divisors is an integer number (861888552).

Almost surely, 225828812660 is an apocalyptic number.

25828812660 is a gapful number since it is divisible by the number (20) 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 25828812660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41370650496).

25828812660 is an abundant number, since it is smaller than the sum of its proper divisors (56912488332).

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

25828812660 is a wasteful number, since it uses less digits than its factorization.

25828812660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66313 (or 66311 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 25828812660 in words is "twenty-five billion, eight hundred twenty-eight million, eight hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 941 1882 2823 3764 4705 5646 6587 9410 11292 13174 14115 18820 19761 26348 28230 32935 39522 56460 65353 65870 79044 98805 130706 131740 196059 197610 261412 326765 392118 395220 457471 653530 784236 914942 980295 1307060 1372413 1829884 1960590 2287355 2744826 3921180 4574710 5489652 6862065 9149420 13724130 27448260 61497173 122994346 184491519 245988692 307485865 368983038 430480211 614971730 737966076 860960422 922457595 1229943460 1291440633 1721920844 1844915190 2152401055 2582881266 3689830380 4304802110 5165762532 6457203165 8609604220 12914406330 25828812660