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82673546994 = 23831320129
BaseRepresentation
bin100110011111110111…
…0100011011011110010
321220101122212100000000
41030333232203123302
52323303412000434
6101551341010430
75654504361153
oct1147756433362
9256348770000
1082673546994
1132075075555
1214033253a16
137a46cb8b9c
144003c8392a
15223d07ab99
hex133fba36f2

82673546994 has 72 divisors (see below), whose sum is σ = 186609568860. Its totient is φ = 27468440064.

The previous prime is 82673546987. The next prime is 82673547017. The reversal of 82673546994 is 49964537628.

82673546994 is a `hidden beast` number, since 82 + 6 + 7 + 3 + 5 + 469 + 94 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81432041769 + 1241505225 = 285363^2 + 35235^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4097122 + ... + 4117250.

Almost surely, 282673546994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82673546994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93304784430).

82673546994 is an abundant number, since it is smaller than the sum of its proper divisors (103936021866).

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

82673546994 is an equidigital number, since it uses as much as digits as its factorization.

82673546994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20468 (or 20447 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 82673546994 in words is "eighty-two billion, six hundred seventy-three million, five hundred forty-six thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 313 486 626 729 939 1458 1878 2187 2817 4374 5634 6561 8451 13122 16902 20129 25353 40258 50706 60387 76059 120774 152118 181161 228177 362322 456354 543483 684531 1086966 1369062 1630449 2053593 3260898 4107186 4891347 6300377 9782694 12600754 14674041 18901131 29348082 37802262 44022123 56703393 88044246 113406786 132066369 170110179 264132738 340220358 510330537 1020661074 1530991611 3061983222 4592974833 9185949666 13778924499 27557848998 41336773497 82673546994