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427749897961 = 3733293472757
BaseRepresentation
bin1100011100101111110…
…00010111011011101001
31111220002121220020122101
412032113320113123221
524002012433213321
6524301112453401
742622020066421
oct6162770273351
91456077806571
10427749897961
11155453736471
126aa986aa261
133144b7ac0c9
14169bb84b481
15b1d7c0a791
hex6397e176e9

427749897961 has 8 divisors (see below), whose sum is σ = 439442797320. Its totient is φ = 416063950848.

The previous prime is 427749897959. The next prime is 427749897983. The reversal of 427749897961 is 169798947724.

It can be written as a sum of positive squares in 4 ways, for example, as 151578627561 + 276171270400 = 389331^2 + 525520^2 .

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 427749897961 - 21 = 427749897959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (427749897361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1613206 + ... + 1859551.

It is an arithmetic number, because the mean of its divisors is an integer number (54930349665).

Almost surely, 2427749897961 is an apocalyptic number.

It is an amenable number.

427749897961 is a deficient number, since it is larger than the sum of its proper divisors (11692899359).

427749897961 is a wasteful number, since it uses less digits than its factorization.

427749897961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476123.

The product of its digits is 384072192, while the sum is 73.

The spelling of 427749897961 in words is "four hundred twenty-seven billion, seven hundred forty-nine million, eight hundred ninety-seven thousand, nine hundred sixty-one".

Divisors: 1 37 3329 123173 3472757 128492009 11560808053 427749897961