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12006042780 = 2235238700031
BaseRepresentation
bin10110010111001110…
…11010110010011100
31010222201111011111010
423023213122302130
5144042021332110
65303203055220
7603343452114
oct131347326234
933881434433
1012006042780
115101109706
1223b0971510
13119449c134
1481c752044
154a4066020
hex2cb9dac9c

12006042780 has 48 divisors (see below), whose sum is σ = 35078529024. Its totient is φ = 3062410560.

The previous prime is 12006042761. The next prime is 12006042781. The reversal of 12006042780 is 8724060021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006042781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4348636 + ... + 4351395.

It is an arithmetic number, because the mean of its divisors is an integer number (730802688).

Almost surely, 212006042780 is an apocalyptic number.

12006042780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12006042780 is an abundant number, since it is smaller than the sum of its proper divisors (23072486244).

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

12006042780 is a wasteful number, since it uses less digits than its factorization.

12006042780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8700066 (or 8700064 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 12006042780 in words is "twelve billion, six million, forty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 8700031 17400062 26100093 34800124 43500155 52200186 87000310 104400372 130500465 174000620 200100713 261000930 400201426 522001860 600302139 800402852 1000503565 1200604278 2001007130 2401208556 3001510695 4002014260 6003021390 12006042780