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27283431053 = 1767710972161
BaseRepresentation
bin11001011010001110…
…000001111010001101
32121102102120220100102
4121122032001322031
5421334024243203
620311150340445
71654052223524
oct313216017215
977372526312
1027283431053
111063087062a
1253551ba725
13275a629b58
14146b7414bb
15a9a3be888
hex65a381e8d

27283431053 has 16 divisors (see below), whose sum is σ = 28970782704. Its totient is φ = 25605365760.

The previous prime is 27283431047. The next prime is 27283431089. The reversal of 27283431053 is 35013438272.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5261761444 + 22021669609 = 72538^2 + 148397^2 .

It is a cyclic number.

It is not a de Polignac number, because 27283431053 - 24 = 27283431037 is a prime.

It is a super-2 number, since 2×272834310532 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27283430998 and 27283431016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27283431353) 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 15 ways as a sum of consecutive naturals, for example, 12624293 + ... + 12626453.

It is an arithmetic number, because the mean of its divisors is an integer number (1810673919).

Almost surely, 227283431053 is an apocalyptic number.

It is an amenable number.

27283431053 is a deficient number, since it is larger than the sum of its proper divisors (1687351651).

27283431053 is a wasteful number, since it uses less digits than its factorization.

27283431053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952.

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 27283431053 in words is "twenty-seven billion, two hundred eighty-three million, four hundred thirty-one thousand, fifty-three".

Divisors: 1 17 677 1097 2161 11509 18649 36737 742669 1462997 2370617 12625373 24870949 40300489 1604907709 27283431053