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27157722882048 = 21334114190749
BaseRepresentation
bin1100010110011001001100…
…11011001110000000000000
310120011020211101212001110000
412023030212123032000000
512024423004024211143
6133432030300240000
75502036455455353
oct613144633160000
9116136741761400
1027157722882048
118720586626080
123067422540000
13121cc68185cb5
1469c6257b429a
1532167c170bd3
hex18b3266ce000

27157722882048 has 560 divisors, whose sum is σ = 90668404134000. Its totient is φ = 8028802252800.

The previous prime is 27157722881981. The next prime is 27157722882107. The reversal of 27157722882048 is 84028822775172.

It is a happy number.

It is a super-2 number, since 2×271577228820482 (a number of 28 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 299216578 + ... + 299307326.

It is an arithmetic number, because the mean of its divisors is an integer number (161907864525).

Almost surely, 227157722882048 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 27157722882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45334202067000).

27157722882048 is an abundant number, since it is smaller than the sum of its proper divisors (63510681251952).

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

27157722882048 is an equidigital number, since it uses as much as digits as its factorization.

27157722882048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90839 (or 90806 counting only the distinct ones).

The product of its (nonzero) digits is 56197120, while the sum is 63.

The spelling of 27157722882048 in words is "twenty-seven trillion, one hundred fifty-seven billion, seven hundred twenty-two million, eight hundred eighty-two thousand, forty-eight".