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3013682112 = 26357193147
BaseRepresentation
bin1011001110100001…
…0010001111000000
321210000202220200000
42303220102033000
522133000311422
61215013400000
7134452606140
oct26350221700
97700686600
103013682112
111307165a81
12701339000
1339049506c
14208368920
15129897cac
hexb3a123c0

3013682112 has 672 divisors, whose sum is σ = 11360993280. Its totient is φ = 772623360.

The previous prime is 3013682107. The next prime is 3013682129. The reversal of 3013682112 is 2112863103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64120873 + ... + 64120919.

It is an arithmetic number, because the mean of its divisors is an integer number (16906240).

Almost surely, 23013682112 is an apocalyptic number.

3013682112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5680496640).

3013682112 is an abundant number, since it is smaller than the sum of its proper divisors (8347311168).

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

3013682112 is a wasteful number, since it uses less digits than its factorization.

3013682112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3013682112 is about 54897.0136892709. The cubic root of 3013682112 is about 1444.4388033196.

The spelling of 3013682112 in words is "three billion, thirteen million, six hundred eighty-two thousand, one hundred twelve".