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682640574534 = 23414939677129
BaseRepresentation
bin10011110111100001000…
…11001000100001000110
32102021000101200012210000
421323300203020201012
542141021441341114
61241333432342130
7100214320100442
oct11736043104106
92367011605700
10682640574534
11243562898386
12b0372b44946
134c4acb70459
142507b9c3822
1512b55083e09
hex9ef08c8846

682640574534 has 80 divisors (see below), whose sum is σ = 1540490688000. Its totient is φ = 225931026816.

The previous prime is 682640574533. The next prime is 682640574571. The reversal of 682640574534 is 435475046286.

682640574534 is a `hidden beast` number, since 6 + 8 + 2 + 64 + 0 + 574 + 5 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682640574533) 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 39 ways as a sum of consecutive naturals, for example, 95751882 + ... + 95759010.

It is an arithmetic number, because the mean of its divisors is an integer number (19256133600).

Almost surely, 2682640574534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682640574534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770245344000).

682640574534 is an abundant number, since it is smaller than the sum of its proper divisors (857850113466).

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

682640574534 is a wasteful number, since it uses less digits than its factorization.

682640574534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11259 (or 11250 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 682640574534 in words is "six hundred eighty-two billion, six hundred forty million, five hundred seventy-four thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 447 894 1341 2682 3967 4023 7129 7934 8046 11901 12069 14258 21387 23802 24138 35703 42774 64161 71406 107109 128322 192483 214218 321327 384966 577449 591083 642654 1062221 1154898 1182166 1773249 2124442 3186663 3546498 5319747 6373326 9559989 10639494 15959241 19119978 28280743 28679967 31918482 47877723 56561486 57359934 84842229 86039901 95755446 169684458 172079802 254526687 509053374 763580061 1527160122 2290740183 4213830707 4581480366 8427661414 12641492121 25282984242 37924476363 75848952726 113773429089 227546858178 341320287267 682640574534