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12728363637583 = 11171271980127067
BaseRepresentation
bin1011100100111000110110…
…0101111101101101001111
31200001211010112202120200001
42321032031211331231033
53132020142042400313
643023155102345131
72452410500536666
oct271161545755517
950054115676601
1012728363637583
11406808349a1a0
121516a1328b1a7
137143831c6c19
143200adc8dddd
1517116211dadd
hexb938d97db4f

12728363637583 has 32 divisors (see below), whose sum is σ = 14819342819328. Its totient is φ = 10803881088000.

The previous prime is 12728363637569. The next prime is 12728363637589. The reversal of 12728363637583 is 38573636382721.

It is a happy number.

It is not a de Polignac number, because 12728363637583 - 217 = 12728363506511 is a prime.

It is a super-2 number, since 2×127283636375832 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12728363637589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470240416 + ... + 470267482.

It is an arithmetic number, because the mean of its divisors is an integer number (463104463104).

Almost surely, 212728363637583 is an apocalyptic number.

12728363637583 is a deficient number, since it is larger than the sum of its proper divisors (2090979181745).

12728363637583 is a wasteful number, since it uses less digits than its factorization.

12728363637583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47023.

The product of its digits is 182891520, while the sum is 64.

The spelling of 12728363637583 in words is "twelve trillion, seven hundred twenty-eight billion, three hundred sixty-three million, six hundred thirty-seven thousand, five hundred eighty-three".

Divisors: 1 11 17 127 187 1397 2159 19801 23749 27067 217811 297737 336617 460139 2514727 3437509 3702787 5061529 27661997 37812599 42750359 58437653 470253949 535953667 642814183 5895490337 9111212339 68066115709 100223335729 748727272799 1157123967053 12728363637583