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2742483744 = 2534721113151
BaseRepresentation
bin1010001101110110…
…1111101100100000
321002010110121110000
42203131233230200
521104033434434
61132044540000
7124650504300
oct24335575440
97063417400
102742483744
1111880736a0
12646551600
1334923c960
141c0331600
15110b77b99
hexa376fb20

2742483744 has 720 divisors, whose sum is σ = 11095672896. Its totient is φ = 653184000.

The previous prime is 2742483743. The next prime is 2742483817. The reversal of 2742483744 is 4473842472.

2742483744 is a `hidden beast` number, since 274 + 2 + 4 + 8 + 374 + 4 = 666.

It is a super-2 number, since 2×27424837442 = 15042434172208515072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2742483744.

It is not an unprimeable number, because it can be changed into a prime (2742483743) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 18162069 + ... + 18162219.

Almost surely, 22742483744 is an apocalyptic number.

2742483744 is a gapful number since it is divisible by the number (24) 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 2742483744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547836448).

2742483744 is an abundant number, since it is smaller than the sum of its proper divisors (8353189152).

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

2742483744 is a wasteful number, since it uses less digits than its factorization.

2742483744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 45.

The square root of 2742483744 is about 52368.7286842062. The cubic root of 2742483744 is about 1399.7420858222.

The spelling of 2742483744 in words is "two billion, seven hundred forty-two million, four hundred eighty-three thousand, seven hundred forty-four".