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81643193456 = 24112139303389
BaseRepresentation
bin100110000001001010…
…0000100010001110000
321210201212001221122212
41030002110010101300
52314201124142311
6101301212551252
75620123460036
oct1140224042160
9253655057585
1081643193456
11316964aa700
12139a6182528
1379116b1b36
143d470b4556
1521cc8a0c8b
hex1302504470

81643193456 has 60 divisors (see below), whose sum is σ = 175122775800. Its totient is φ = 36843438720.

The previous prime is 81643193417. The next prime is 81643193483. The reversal of 81643193456 is 65439134618.

It is a super-2 number, since 2×816431934562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117410 + ... + 420798.

It is an arithmetic number, because the mean of its divisors is an integer number (2918712930).

Almost surely, 281643193456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81643193456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87561387900).

81643193456 is an abundant number, since it is smaller than the sum of its proper divisors (93479582344).

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

81643193456 is a wasteful number, since it uses less digits than its factorization.

81643193456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303558 (or 303541 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 50.

The spelling of 81643193456 in words is "eighty-one billion, six hundred forty-three million, one hundred ninety-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 139 176 242 278 484 556 968 1112 1529 1936 2224 3058 6116 12232 16819 24464 33638 67276 134552 269104 303389 606778 1213556 2427112 3337279 4854224 6674558 13349116 26698232 36710069 42171071 53396464 73420138 84342142 146840276 168684284 293680552 337368568 463881781 587361104 674737136 927763562 1855527124 3711054248 5102699591 7422108496 10205399182 20410798364 40821596728 81643193456