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27328021056 = 26357373673
BaseRepresentation
bin11001011100111000…
…001000001001000000
32121112112111022100000
4121130320020021000
5421431433133211
620315422200000
71655133226530
oct313470101100
977475438300
1027328021056
1110653a56776
125368123000
13276693c97b
14147362b4c0
15a9e27b656
hex65ce08240

27328021056 has 336 divisors, whose sum is σ = 93223754624. Its totient is φ = 7775502336.

The previous prime is 27328021051. The next prime is 27328021057. The reversal of 27328021056 is 65012082372.

27328021056 is a `hidden beast` number, since 273 + 280 + 2 + 105 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27328021056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27328021051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40605936 + ... + 40606608.

Almost surely, 227328021056 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 27328021056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46611877312).

27328021056 is an abundant number, since it is smaller than the sum of its proper divisors (65895733568).

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

27328021056 is an equidigital number, since it uses as much as digits as its factorization.

27328021056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27328021056 in words is "twenty-seven billion, three hundred twenty-eight million, twenty-one thousand, fifty-six".