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820532128923 = 341317397115459
BaseRepresentation
bin10111111000010111000…
…01101010110010011011
32220102221021221221220000
423330023201222302123
5101420422211111143
61424540335104043
7113165360006133
oct13741341526233
92812837857800
10820532128923
11296a92aa5091
12113036672023
135c4b69783a0
142b9dd1a7ac3
1516525b20bd3
hexbf0b86ac9b

820532128923 has 80 divisors (see below), whose sum is σ = 1401201315360. Its totient is φ = 474039143424.

The previous prime is 820532128909. The next prime is 820532128939. The reversal of 820532128923 is 329821235028.

820532128923 is a `hidden beast` number, since 8 + 2 + 0 + 532 + 1 + 28 + 92 + 3 = 666.

It is not a de Polignac number, because 820532128923 - 28 = 820532128667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820532128963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7048968 + ... + 7164426.

It is an arithmetic number, because the mean of its divisors is an integer number (17515016442).

Almost surely, 2820532128923 is an apocalyptic number.

820532128923 is a deficient number, since it is larger than the sum of its proper divisors (580669186437).

820532128923 is a wasteful number, since it uses less digits than its factorization.

820532128923 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115898 (or 115889 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 820532128923 in words is "eight hundred twenty billion, five hundred thirty-two million, one hundred twenty-eight thousand, nine hundred twenty-three".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 351 397 459 663 1053 1191 1377 1989 3573 5161 5967 6749 10719 15483 17901 20247 32157 46449 60741 87737 115459 139347 182223 263211 346377 418041 546669 789633 1039131 1500967 1962803 2368899 3117393 4502901 5888409 7106697 9352179 13508703 17665227 25516439 40526109 45837223 52995681 76549317 121578327 137511669 158987043 229647951 412535007 595883899 688943853 779232791 1237605021 1787651697 2066831559 2337698373 3712815063 5362955091 7013095119 10130026283 16088865273 21039285357 30390078849 48266595819 63117856071 91170236547 273510709641 820532128923