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2427071281 = 109149149441
BaseRepresentation
bin1001000010101010…
…0010101100110001
320021010221222212221
42100222202230301
514432312240111
61040500321041
7114100523365
oct22052425461
96233858787
102427071281
111036022638
125789a3181
132c8aa686b
141904a92a5
15e3122371
hex90aa2b31

2427071281 has 8 divisors (see below), whose sum is σ = 2465793000. Its totient is φ = 2388648960.

The previous prime is 2427071261. The next prime is 2427071293. The reversal of 2427071281 is 1821707242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 525326400 + 1901744881 = 22920^2 + 43609^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2427071281 - 215 = 2427038513 is a prime.

It is a super-3 number, since 3×24270712813 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2427071201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58480 + ... + 90961.

It is an arithmetic number, because the mean of its divisors is an integer number (308224125).

Almost surely, 22427071281 is an apocalyptic number.

It is an amenable number.

2427071281 is a deficient number, since it is larger than the sum of its proper divisors (38721719).

2427071281 is a wasteful number, since it uses less digits than its factorization.

2427071281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149699.

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 2427071281 is about 49265.3151923338. The cubic root of 2427071281 is about 1343.8810926268.

The spelling of 2427071281 in words is "two billion, four hundred twenty-seven million, seventy-one thousand, two hundred eighty-one".

Divisors: 1 109 149 16241 149441 16289069 22266709 2427071281