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82948474323 = 3211131710137537
BaseRepresentation
bin100110101000000011…
…1010100010111010011
321221002211012002101200
41031100013110113103
52324334302134243
6102034521402243
75664353253441
oct1152007242723
9257084162350
1082948474323
11321a6284520
12140ab339383
137a8bc48690
14402c5abb91
152257285ad3
hex13501d45d3

82948474323 has 96 divisors (see below), whose sum is σ = 150520773312. Its totient is φ = 43241472000.

The previous prime is 82948474319. The next prime is 82948474331. The reversal of 82948474323 is 32347484928.

82948474323 is a `hidden beast` number, since 82 + 94 + 8 + 47 + 432 + 3 = 666.

It is not a de Polignac number, because 82948474323 - 22 = 82948474319 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82948474323.

It is not an unprimeable number, because it can be changed into a prime (82948474393) 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 95 ways as a sum of consecutive naturals, for example, 2191011 + ... + 2228547.

It is an arithmetic number, because the mean of its divisors is an integer number (1567924722).

Almost surely, 282948474323 is an apocalyptic number.

82948474323 is a deficient number, since it is larger than the sum of its proper divisors (67572298989).

82948474323 is a wasteful number, since it uses less digits than its factorization.

82948474323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37685 (or 37682 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 82948474323 in words is "eighty-two billion, nine hundred forty-eight million, four hundred seventy-four thousand, three hundred twenty-three".

Divisors: 1 3 9 11 13 17 33 39 51 99 101 117 143 153 187 221 303 429 561 663 909 1111 1287 1313 1683 1717 1989 2431 3333 3939 5151 7293 9999 11817 14443 15453 18887 21879 22321 37537 43329 56661 66963 112611 129987 169983 200889 245531 337833 412907 487981 638129 736593 1238721 1463943 1914387 2209779 3716163 3791237 4391829 5367791 5743161 7019419 8295677 11373711 16103373 21058257 24887031 34121133 41703607 48310119 49286081 63174771 64451029 74661093 91252447 125110821 147858243 193353087 273757341 375332463 443574729 542146891 580059261 708961319 821272023 837863377 1626440673 2126883957 2513590131 4879322019 6380651871 7540770393 9216497147 27649491441 82948474323