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138073563639 = 321113110646431
BaseRepresentation
bin1000000010010111010…
…0110110000111110111
3111012101120202202212100
42000211310312013313
54230233313014024
6143232523353143
712655406632524
oct2004564660767
9435346682770
10138073563639
1153613a21a80
12229146827b3
131003573351b
14697b84214b
1538d1a407c9
hex2025d361f7

138073563639 has 24 divisors (see below), whose sum is σ = 219231327744. Its totient is φ = 83042154000.

The previous prime is 138073563631. The next prime is 138073563671. The reversal of 138073563639 is 936365370831.

138073563639 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 73 + 563 + 6 + 3 + 9 = 666.

138073563639 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138073563639 - 23 = 138073563631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138073563631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5310247 + ... + 5336184.

It is an arithmetic number, because the mean of its divisors is an integer number (9134638656).

Almost surely, 2138073563639 is an apocalyptic number.

138073563639 is a deficient number, since it is larger than the sum of its proper divisors (81157764105).

138073563639 is a wasteful number, since it uses less digits than its factorization.

138073563639 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10646579 (or 10646576 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 138073563639 in words is "one hundred thirty-eight billion, seventy-three million, five hundred sixty-three thousand, six hundred thirty-nine".

Divisors: 1 3 9 11 33 99 131 393 1179 1441 4323 12969 10646431 31939293 95817879 117110741 351332223 1053996669 1394682461 4184047383 12552142149 15341507071 46024521213 138073563639