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12628270540 = 2251075901061
BaseRepresentation
bin10111100001011010…
…00001110111001100
31012121002022121111201
423300231001313030
5201330314124130
65445031355244
7624640346164
oct136055016714
935532277451
1012628270540
1153a0369626
122545222b24
13126337b142
1487b2435a4
154dd9c4bca
hex2f0b41dcc

12628270540 has 24 divisors (see below), whose sum is σ = 26767217232. Its totient is φ = 5004098880.

The previous prime is 12628270507. The next prime is 12628270541. The reversal of 12628270540 is 4507282621.

It is a happy number.

12628270540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12628270540.

It is not an unprimeable number, because it can be changed into a prime (12628270541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2948391 + ... + 2952670.

It is an arithmetic number, because the mean of its divisors is an integer number (1115300718).

Almost surely, 212628270540 is an apocalyptic number.

12628270540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12628270540 is an abundant number, since it is smaller than the sum of its proper divisors (14138946692).

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

12628270540 is a wasteful number, since it uses less digits than its factorization.

12628270540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901177 (or 5901175 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 12628270540 in words is "twelve billion, six hundred twenty-eight million, two hundred seventy thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 2140 5901061 11802122 23604244 29505305 59010610 118021220 631413527 1262827054 2525654108 3157067635 6314135270 12628270540