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27423344640 = 211351752511
BaseRepresentation
bin11001100010100011…
…110000100000000000
32121210011212020201010
4121202203300200000
5422130334012030
620333105240520
71660401404046
oct314243604000
977704766633
1027423344640
11106a284379a
125394033140
132780606a63
141482162396
15aa780a6b0
hex6628f0800

27423344640 has 192 divisors, whose sum is σ = 92895828480. Its totient is φ = 6882590720.

The previous prime is 27423344633. The next prime is 27423344653. The reversal of 27423344640 is 4644332472.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495985 + ... + 548495.

It is an arithmetic number, because the mean of its divisors is an integer number (483832440).

Almost surely, 227423344640 is an apocalyptic number.

27423344640 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 27423344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46447914240).

27423344640 is an abundant number, since it is smaller than the sum of its proper divisors (65472483840).

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

27423344640 is a wasteful number, since it uses less digits than its factorization.

27423344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52558 (or 52538 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 39.

The spelling of 27423344640 in words is "twenty-seven billion, four hundred twenty-three million, three hundred forty-four thousand, six hundred forty".