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138187073766 = 23717238414753
BaseRepresentation
bin1000000010110010010…
…1110110100011100110
3111012200111100200111010
42000230211312203212
54231001342330031
6143252100323050
712661255514040
oct2005445664346
9435614320433
10138187073766
11536720008a5
12229466a3486
13100530c7491
14698c94ca90
1538db9b3246
hex202c9768e6

138187073766 has 64 divisors (see below), whose sum is σ = 348976677888. Its totient is φ = 35543912448.

The previous prime is 138187073737. The next prime is 138187073767. The reversal of 138187073766 is 667370781831.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138187073767) 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 31 ways as a sum of consecutive naturals, for example, 4190955 + ... + 4223798.

It is an arithmetic number, because the mean of its divisors is an integer number (5452760592).

Almost surely, 2138187073766 is an apocalyptic number.

138187073766 is an abundant number, since it is smaller than the sum of its proper divisors (210789604122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138187073766 is a wasteful number, since it uses less digits than its factorization.

138187073766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8414805.

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 138187073766 in words is "one hundred thirty-eight billion, one hundred eighty-seven million, seventy-three thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 322 357 391 483 714 782 966 1173 2346 2737 5474 8211 16422 8414753 16829506 25244259 50488518 58903271 117806542 143050801 176709813 193539319 286101602 353419626 387078638 429152403 580617957 858304806 1001355607 1161235914 1354775233 2002711214 2709550466 3004066821 3290168423 4064325699 6008133642 6580336846 8128651398 9870505269 19741010538 23031178961 46062357922 69093536883 138187073766