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2138235712 = 26173313617
BaseRepresentation
bin111111101110010…
…1110001101000000
312112000110121222021
41333130232031000
513334342020322
6552101451224
7103662463234
oct17734561500
95460417867
102138235712
119a7a84158
124b8110b14
13280cb7642
14163da05c4
15c7abb4c7
hex7f72e340

2138235712 has 56 divisors (see below), whose sum is σ = 4288161096. Its totient is φ = 1057824768.

The previous prime is 2138235709. The next prime is 2138235713. The reversal of 2138235712 is 2175328312.

It can be written as a sum of positive squares in 4 ways, for example, as 1577536 + 2136658176 = 1256^2 + 46224^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138235713) 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 7 ways as a sum of consecutive naturals, for example, 3465228 + ... + 3465844.

Almost surely, 22138235712 is an apocalyptic number.

It is an amenable number.

2138235712 is an abundant number, since it is smaller than the sum of its proper divisors (2149925384).

2138235712 is a wasteful number, since it uses less digits than its factorization.

2138235712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1105 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 2138235712 is about 46241.0608874840. The cubic root of 2138235712 is about 1288.3045073017.

The spelling of 2138235712 in words is "two billion, one hundred thirty-eight million, two hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 173 313 346 617 626 692 1234 1252 1384 2468 2504 2768 4936 5008 5536 9872 10016 11072 19744 20032 39488 54149 106741 108298 193121 213482 216596 386242 426964 433192 772484 853928 866384 1544968 1707856 1732768 3089936 3415712 3465536 6179872 6831424 12359744 33409933 66819866 133639732 267279464 534558928 1069117856 2138235712