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82375132118711 = 17412772936612203
BaseRepresentation
bin10010101110101101110100…
…011111001111111010110111
3101210122222121120221222120112
4102232231310133033322313
541244113232310244321
6451110340244453235
723231256365041655
oct2256556437177267
9353588546858515
1082375132118711
112427a108625013
1292a4a290aa21b
1336c6c319a9363
14164ad98a11dd5
1597cb76038a5b
hex4aeb747cfeb7

82375132118711 has 64 divisors (see below), whose sum is σ = 90153688818816. Its totient is φ = 74960617881600.

The previous prime is 82375132118681. The next prime is 82375132118791. The reversal of 82375132118711 is 11781123157328.

It is a cyclic number.

It is not a de Polignac number, because 82375132118711 - 226 = 82375065009847 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82375132118711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82375132118791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37392251336 + ... + 37392253538.

It is an arithmetic number, because the mean of its divisors is an integer number (1408651387794).

Almost surely, 282375132118711 is an apocalyptic number.

82375132118711 is a deficient number, since it is larger than the sum of its proper divisors (7778556700105).

82375132118711 is a wasteful number, since it uses less digits than its factorization.

82375132118711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492.

The product of its digits is 564480, while the sum is 50.

The spelling of 82375132118711 in words is "eighty-two trillion, three hundred seventy-five billion, one hundred thirty-two million, one hundred eighteen thousand, seven hundred eleven".

Divisors: 1 17 41 277 293 661 697 2203 4709 4981 11237 11357 12013 27101 37451 81161 90323 183097 193069 193673 204221 460717 610231 645479 1379737 1456183 1535491 3112649 3292441 3327601 7506977 7940593 10373927 10973143 24755111 25019471 26464639 53647421 56569217 59703503 127618609 134990081 178797683 403362691 425331007 426661619 449898863 912006157 1014959551 2199544261 3039560611 6857165747 7253247523 7330705003 16537870331 17493126379 37392252437 118185268463 124621985051 281143795627 297383148443 2009149563871 4845596006983 82375132118711