Search a number
-
+
12728645700 = 2235271597589
BaseRepresentation
bin10111101101010111…
…11011100001000100
31012212002012012100020
423312223323201010
5202032013130300
65503015015140
7630266463141
oct136653734104
935762165306
1012728645700
115441a96a01
12257296a4b0
13127b0c3624
1488a6d13c8
154e77008a0
hex2f6afb844

12728645700 has 72 divisors (see below), whose sum is σ = 37346984640. Its totient is φ = 3346492800.

The previous prime is 12728645689. The next prime is 12728645701. The reversal of 12728645700 is 754682721.

It is a super-2 number, since 2×127286457002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12728645701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277495 + ... + 320094.

It is an arithmetic number, because the mean of its divisors is an integer number (518708120).

Almost surely, 212728645700 is an apocalyptic number.

12728645700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12728645700 is an abundant number, since it is smaller than the sum of its proper divisors (24618338940).

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

12728645700 is a wasteful number, since it uses less digits than its factorization.

12728645700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597677 (or 597670 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 12728645700 in words is "twelve billion, seven hundred twenty-eight million, six hundred forty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21300 597589 1195178 1792767 2390356 2987945 3585534 5975890 7171068 8963835 11951780 14939725 17927670 29879450 35855340 42428819 44819175 59758900 84857638 89638350 127286457 169715276 179276700 212144095 254572914 424288190 509145828 636432285 848576380 1060720475 1272864570 2121440950 2545729140 3182161425 4242881900 6364322850 12728645700