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27326827749312 = 2633713672593757
BaseRepresentation
bin1100011011010100001011…
…10111000101111111000000
310120202102022121111101022000
412031222011313011333000
512040210320400434222
6134041434340344000
75520204160226160
oct615520567057700
9116672277441260
1027326827749312
118786273945823
1230941573a5000
131232ba782bc30
146a68a85da5a0
15325c781019ac
hex18da85dc5fc0

27326827749312 has 448 divisors, whose sum is σ = 100350629514240. Its totient is φ = 7099504422912.

The previous prime is 27326827749307. The next prime is 27326827749337. The reversal of 27326827749312 is 21394772862372.

It is a happy number.

27326827749312 is a `hidden beast` number, since 2 + 7 + 3 + 2 + 6 + 8 + 277 + 49 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 27326827749312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9238738 + ... + 11832494.

It is an arithmetic number, because the mean of its divisors is an integer number (223996940880).

Almost surely, 227326827749312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27326827749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50175314757120).

27326827749312 is an abundant number, since it is smaller than the sum of its proper divisors (73023801764928).

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

27326827749312 is a wasteful number, since it uses less digits than its factorization.

27326827749312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593865 (or 2593849 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 27326827749312 in words is "twenty-seven trillion, three hundred twenty-six billion, eight hundred twenty-seven million, seven hundred forty-nine thousand, three hundred twelve".