Search a number
-
+
12305647272 = 2335325737643
BaseRepresentation
bin10110111010111100…
…10100011010101000
31011202121020122120210
423131132110122220
5200200221203042
65353024421120
7613642163442
oct133536243250
934677218523
1012305647272
115245242a26
1224751777a0
13121158bbb9
1484a461492
154c04e7a9c
hex2dd7946a8

12305647272 has 64 divisors (see below), whose sum is σ = 31467372480. Its totient is φ = 4008722432.

The previous prime is 12305647267. The next prime is 12305647297. The reversal of 12305647272 is 27274650321.

It is a self number, because there is not a number n which added to its sum of digits gives 12305647272.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308083 + ... + 345725.

It is an arithmetic number, because the mean of its divisors is an integer number (491677695).

Almost surely, 212305647272 is an apocalyptic number.

12305647272 is a gapful number since it is divisible by the number (12) 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 12305647272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15733686240).

12305647272 is an abundant number, since it is smaller than the sum of its proper divisors (19161725208).

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

12305647272 is a wasteful number, since it uses less digits than its factorization.

12305647272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37962 (or 37958 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 12305647272 in words is "twelve billion, three hundred five million, six hundred forty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 257 318 424 514 636 771 1028 1272 1542 2056 3084 6168 13621 27242 37643 40863 54484 75286 81726 108968 112929 150572 163452 225858 301144 326904 451716 903432 1995079 3990158 5985237 7980316 9674251 11970474 15960632 19348502 23940948 29022753 38697004 47881896 58045506 77394008 116091012 232182024 512735303 1025470606 1538205909 2050941212 3076411818 4101882424 6152823636 12305647272