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138456711735 = 3517542967497
BaseRepresentation
bin1000000011110010101…
…0011100001000110111
3111020101021201201020120
42000330222130020313
54232024404233420
6143334531503023
713001041426416
oct2007452341067
9436337651216
10138456711735
11537a02278a1
1222a00a57a73
1310096c24584
1469b669b47d
1539054c5d40
hex203ca9c237

138456711735 has 16 divisors (see below), whose sum is σ = 234561959136. Its totient is φ = 69499839488.

The previous prime is 138456711719. The next prime is 138456711737. The reversal of 138456711735 is 537117654831.

It is a cyclic number.

It is not a de Polignac number, because 138456711735 - 24 = 138456711719 is a prime.

It is a super-2 number, since 2×1384567117352 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138456711737) 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, 271483494 + ... + 271484003.

It is an arithmetic number, because the mean of its divisors is an integer number (14660122446).

Almost surely, 2138456711735 is an apocalyptic number.

138456711735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138456711735 is a deficient number, since it is larger than the sum of its proper divisors (96105247401).

138456711735 is a wasteful number, since it uses less digits than its factorization.

138456711735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542967522.

The product of its digits is 2116800, while the sum is 51.

The spelling of 138456711735 in words is "one hundred thirty-eight billion, four hundred fifty-six million, seven hundred eleven thousand, seven hundred thirty-five".

Divisors: 1 3 5 15 17 51 85 255 542967497 1628902491 2714837485 8144512455 9230447449 27691342347 46152237245 138456711735