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27874427812 = 227112192367281
BaseRepresentation
bin11001111101011100…
…100000001110100100
32122221121122122111021
4121331130200032210
5424041323142222
620445541420524
72004516504250
oct317534401644
978847578437
1027874427812
111090442a200
12549b10a744
132822bc278a
1414c6023260
15ad220eac7
hex67d7203a4

27874427812 has 288 divisors, whose sum is σ = 68554967040. Its totient is φ = 9659865600.

The previous prime is 27874427809. The next prime is 27874427857. The reversal of 27874427812 is 21872447872.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 27874427812.

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 95 ways as a sum of consecutive naturals, for example, 99197112 + ... + 99197392.

It is an arithmetic number, because the mean of its divisors is an integer number (238038080).

Almost surely, 227874427812 is an apocalyptic number.

27874427812 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 27874427812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34277483520).

27874427812 is an abundant number, since it is smaller than the sum of its proper divisors (40680539228).

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

27874427812 is a wasteful number, since it uses less digits than its factorization.

27874427812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 410 counting only the distinct ones).

The product of its digits is 2809856, while the sum is 52.

The spelling of 27874427812 in words is "twenty-seven billion, eight hundred seventy-four million, four hundred twenty-seven thousand, eight hundred twelve".