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12727821540 = 2235724329191
BaseRepresentation
bin10111101101010001…
…10010010011100100
31012212000122022210210
423312220302103210
5202031310242130
65502545215420
7630256461300
oct136650622344
935760568723
1012727821540
115441583785
122572631570
13127ab95465
1488a558d00
154e75db5b0
hex2f6a324e4

12727821540 has 72 divisors (see below), whose sum is σ = 41456342592. Its totient is φ = 2909215680.

The previous prime is 12727821527. The next prime is 12727821553. The reversal of 12727821540 is 4512872721.

12727821540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12727821527) and next prime (12727821553).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2161656 + ... + 2167535.

It is an arithmetic number, because the mean of its divisors is an integer number (575782536).

Almost surely, 212727821540 is an apocalyptic number.

12727821540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12727821540 is an abundant number, since it is smaller than the sum of its proper divisors (28728521052).

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

12727821540 is a wasteful number, since it uses less digits than its factorization.

12727821540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329217 (or 4329208 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 12727821540 in words is "twelve billion, seven hundred twenty-seven million, eight hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 4329191 8658382 12987573 17316764 21645955 25975146 30304337 43291910 51950292 60608674 64937865 86583820 90913011 121217348 129875730 151521685 181826022 212130359 259751460 303043370 363652044 424260718 454565055 606086740 636391077 848521436 909130110 1060651795 1272782154 1818260220 2121303590 2545564308 3181955385 4242607180 6363910770 12727821540