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12727503140 = 2251157852287
BaseRepresentation
bin10111101101001111…
…00100100100100100
31012212000001011001012
423312213210210210
5202031220100030
65502534321352
7630253664102
oct136647444444
935760034035
1012727503140
115441386540
1225724b9258
13127aab3561
1488a4b4c72
154e7577095
hex2f69e4924

12727503140 has 24 divisors (see below), whose sum is σ = 29157553152. Its totient is φ = 4628182880.

The previous prime is 12727503137. The next prime is 12727503149. The reversal of 12727503140 is 4130572721.

12727503140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12727503097 and 12727503106.

It is not an unprimeable number, because it can be changed into a prime (12727503149) 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, 28925924 + ... + 28926363.

It is an arithmetic number, because the mean of its divisors is an integer number (1214898048).

Almost surely, 212727503140 is an apocalyptic number.

12727503140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12727503140 is an abundant number, since it is smaller than the sum of its proper divisors (16430050012).

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

12727503140 is a wasteful number, since it uses less digits than its factorization.

12727503140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57852307 (or 57852305 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 12727503140 in words is "twelve billion, seven hundred twenty-seven million, five hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 57852287 115704574 231409148 289261435 578522870 636375157 1157045740 1272750314 2545500628 3181875785 6363751570 12727503140