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27376386048 = 21533112997
BaseRepresentation
bin11001011111110000…
…101000000000000000
32121122220111111122000
4121133300220000000
5422031323323143
620324310544000
71656261304404
oct313760500000
977586444560
1027376386048
1110679290040
125380368000
132773974acb
141479c1b104
15aa3631bd3
hex65fc28000

27376386048 has 512 divisors, whose sum is σ = 92482992000. Its totient is φ = 7927234560.

The previous prime is 27376386047. The next prime is 27376386073. The reversal of 27376386048 is 84068367372.

27376386048 is a `hidden beast` number, since 27 + 3 + 7 + 6 + 3 + 8 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27376385985 and 27376386003.

It is not an unprimeable number, because it can be changed into a prime (27376386041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282230736 + ... + 282230832.

Almost surely, 227376386048 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 27376386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46241496000).

27376386048 is an abundant number, since it is smaller than the sum of its proper divisors (65106605952).

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

27376386048 is an equidigital number, since it uses as much as digits as its factorization.

27376386048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 27376386048 in words is "twenty-seven billion, three hundred seventy-six million, three hundred eighty-six thousand, forty-eight".