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27044602368 = 293731411979
BaseRepresentation
bin11001001011111110…
…111110001000000000
32120210210012010222120
4121023332332020000
5420341404233433
620231335404240
71645122220140
oct311376761000
976723163876
1027044602368
1110518a78053
1252a9223680
13271ccc91c4
141447b32920
15a844457b3
hex64bfbe200

27044602368 has 320 divisors, whose sum is σ = 87114424320. Its totient is φ = 7291699200.

The previous prime is 27044602367. The next prime is 27044602373. The reversal of 27044602368 is 86320644072.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (27044602367) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13664803 + ... + 13666781.

It is an arithmetic number, because the mean of its divisors is an integer number (272232576).

Almost surely, 227044602368 is an apocalyptic number.

27044602368 is a gapful number since it is divisible by the number (28) 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 27044602368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43557212160).

27044602368 is an abundant number, since it is smaller than the sum of its proper divisors (60069821952).

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

27044602368 is a wasteful number, since it uses less digits than its factorization.

27044602368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 27044602368 in words is "twenty-seven billion, forty-four million, six hundred two thousand, three hundred sixty-eight".