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27386381880 = 233551113171961
BaseRepresentation
bin11001100000010110…
…110000011000111000
32121200121022100100000
4121200112300120320
5422041403210010
620325305113000
71656442255644
oct314026603070
977617270300
1027386381880
1110683998060
125383788760
132775a647c0
14147b29dc24
15aa44587c0
hex6605b0638

27386381880 has 1536 divisors, whose sum is σ = 122842137600. Its totient is φ = 5374771200.

The previous prime is 27386381831. The next prime is 27386381933. The reversal of 27386381880 is 8818368372.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 448957050 + ... + 448957110.

It is an arithmetic number, because the mean of its divisors is an integer number (79975350).

Almost surely, 227386381880 is an apocalyptic number.

27386381880 is a gapful number since it is divisible by the number (20) 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 27386381880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61421068800).

27386381880 is an abundant number, since it is smaller than the sum of its proper divisors (95455755720).

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

27386381880 is a wasteful number, since it uses less digits than its factorization.

27386381880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 27386381880 in words is "twenty-seven billion, three hundred eighty-six million, three hundred eighty-one thousand, eight hundred eighty".