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12061813860 = 2232567010077
BaseRepresentation
bin10110011101111000…
…01010110001100100
31011010121102122000200
423032330022301210
5144200311020420
65312514310500
7604621504035
oct131674126144
934117378020
1012061813860
11512a641308
122407588430
1311a2bc8285
14825d0ca8c
154a8dd0b90
hex2cef0ac64

12061813860 has 36 divisors (see below), whose sum is σ = 36587502588. Its totient is φ = 3216483648.

The previous prime is 12061813859. The next prime is 12061813877. The reversal of 12061813860 is 6831816021.

12061813860 is a `hidden beast` number, since 1 + 2 + 0 + 618 + 1 + 38 + 6 + 0 = 666.

12061813860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2194172964 + 9867640896 = 46842^2 + 99336^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 33504859 + ... + 33505218.

Almost surely, 212061813860 is an apocalyptic number.

12061813860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12061813860 is an abundant number, since it is smaller than the sum of its proper divisors (24525688728).

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

12061813860 is a wasteful number, since it uses less digits than its factorization.

12061813860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67010092 (or 67010087 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12061813860 in words is "twelve billion, sixty-one million, eight hundred thirteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 67010077 134020154 201030231 268040308 335050385 402060462 603090693 670100770 804120924 1005151155 1206181386 1340201540 2010302310 2412362772 3015453465 4020604620 6030906930 12061813860