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27349694372 = 227211213432063
BaseRepresentation
bin11001011110001010…
…110011011110100100
32121121001021102112102
4121132022303132210
5422003010204442
620321514511232
71655515365200
oct313612633644
977531242472
1027349694372
111066520a200
125373435518
13276b28a910
14147646db00
15aa110d232
hex65e2b37a4

27349694372 has 216 divisors, whose sum is σ = 67470657408. Its totient is φ = 9602651520.

The previous prime is 27349694341. The next prime is 27349694423.

27349694372 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13256213 + ... + 13258275.

Almost surely, 227349694372 is an apocalyptic number.

27349694372 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 27349694372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33735328704).

27349694372 is an abundant number, since it is smaller than the sum of its proper divisors (40120963036).

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

27349694372 is a wasteful number, since it uses less digits than its factorization.

27349694372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2139 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 56.

The spelling of 27349694372 in words is "twenty-seven billion, three hundred forty-nine million, six hundred ninety-four thousand, three hundred seventy-two".