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2142072047 = 432471572
BaseRepresentation
bin111111110101101…
…0110110011101111
312112021200112102202
41333223112303233
513341332301142
6552320012115
7104040212003
oct17753266357
95467615382
102142072047
119aa164485
124b946103b
13281a2b86b
141646bc703
15c80c8032
hex7fad6cef

2142072047 has 18 divisors (see below), whose sum is σ = 2254063248. Its totient is φ = 2034697392.

The previous prime is 2142072001. The next prime is 2142072061. The reversal of 2142072047 is 7402702412.

It is not a de Polignac number, because 2142072047 - 26 = 2142071983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142072077) 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 17 ways as a sum of consecutive naturals, for example, 13643693 + ... + 13643849.

It is an arithmetic number, because the mean of its divisors is an integer number (125225736).

Almost surely, 22142072047 is an apocalyptic number.

2142072047 is a deficient number, since it is larger than the sum of its proper divisors (111991201).

2142072047 is an frugal number, since it uses more digits than its factorization.

2142072047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 29.

The square root of 2142072047 is about 46282.5242073074. The cubic root of 2142072047 is about 1289.0745213822.

Adding to 2142072047 its reverse (7402702412), we get a palindrome (9544774459).

The spelling of 2142072047 in words is "two billion, one hundred forty-two million, seventy-two thousand, forty-seven".

Divisors: 1 43 47 157 1849 2021 6751 7379 24649 86903 290293 317297 1059907 1158503 13643771 45576001 49815629 2142072047