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12064177700 = 2252120641777
BaseRepresentation
bin10110011110001010…
…01011111000100100
31011010202212201121022
423033011023320210
5144201412141300
65313041110312
7604650550511
oct131705137044
934122781538
1012064177700
115130a062a3
122408328398
1311a35451b3
14826366308
154a91eb285
hex2cf14be24

12064177700 has 18 divisors (see below), whose sum is σ = 26179265826. Its totient is φ = 4825671040.

The previous prime is 12064177691. The next prime is 12064177733. The reversal of 12064177700 is 777146021.

12064177700 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 3 ways, for example, as 1246513636 + 10817664064 = 35306^2 + 104008^2 .

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 5 ways as a sum of consecutive naturals, for example, 60320789 + ... + 60320988.

It is an arithmetic number, because the mean of its divisors is an integer number (1454403657).

Almost surely, 212064177700 is an apocalyptic number.

12064177700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12064177700 is an abundant number, since it is smaller than the sum of its proper divisors (14115088126).

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

12064177700 is a wasteful number, since it uses less digits than its factorization.

12064177700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120641791 (or 120641784 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The spelling of 12064177700 in words is "twelve billion, sixty-four million, one hundred seventy-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120641777 241283554 482567108 603208885 1206417770 2412835540 3016044425 6032088850 12064177700