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2993234112 = 263211267641
BaseRepresentation
bin1011001001101001…
…0010000011000000
321201121022001021200
42302122102003000
522112231442422
61213003221200
7134114033031
oct26232220300
97647261250
102993234112
1112a666a100
126b6517800
13389185a5b
14205764a88
15127ba92ac
hexb26920c0

2993234112 has 252 divisors, whose sum is σ = 9586115448. Its totient is φ = 892108800.

The previous prime is 2993234033. The next prime is 2993234119. The reversal of 2993234112 is 2114323992.

2993234112 is a `hidden beast` number, since 299 + 323 + 41 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2993234119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4669312 + ... + 4669952.

Almost surely, 22993234112 is an apocalyptic number.

2993234112 is a gapful number since it is divisible by the number (22) 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 2993234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793057724).

2993234112 is an abundant number, since it is smaller than the sum of its proper divisors (6592881336).

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

2993234112 is a wasteful number, since it uses less digits than its factorization.

2993234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 724 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2993234112 is about 54710.4570626128. The cubic root of 2993234112 is about 1441.1645209667.

The spelling of 2993234112 in words is "two billion, nine hundred ninety-three million, two hundred thirty-four thousand, one hundred twelve".