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27714423744 = 2632715743781
BaseRepresentation
bin11001110011111010…
…001000101111000000
32122112110120121011200
4121303322020233000
5423224343024434
620422024141200
72000534500140
oct316372105700
978473517150
1027714423744
1110832084837
125455607800
1327c8a00207
1414aca92920
15ac3156199
hex673e88bc0

27714423744 has 168 divisors, whose sum is σ = 91367079648. Its totient is φ = 7867791360.

The previous prime is 27714423719. The next prime is 27714423767. The reversal of 27714423744 is 44732441772.

27714423744 is a `hidden beast` number, since 277 + 1 + 4 + 4 + 2 + 374 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 27714423744.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 611134 + ... + 654914.

Almost surely, 227714423744 is an apocalyptic number.

27714423744 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 27714423744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45683539824).

27714423744 is an abundant number, since it is smaller than the sum of its proper divisors (63652655904).

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

27714423744 is a wasteful number, since it uses less digits than its factorization.

27714423744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43963 (or 43950 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 45.

The spelling of 27714423744 in words is "twenty-seven billion, seven hundred fourteen million, four hundred twenty-three thousand, seven hundred forty-four".