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677645886834 = 232729419442609
BaseRepresentation
bin10011101110001101101…
…01111010010101110010
32101210010022021210022200
421313012311322111302
542100304321334314
61235150051044030
766646460666640
oct11670665722562
92353108253280
10677645886834
1124142a489604
12ab3ba2a0616
134bb95151847
1424b26506190
151296182b709
hex9dc6d7a572

677645886834 has 96 divisors (see below), whose sum is σ = 1739988432000. Its totient is φ = 186490225152.

The previous prime is 677645886823. The next prime is 677645886851. The reversal of 677645886834 is 438688546776.

It is a happy number.

677645886834 is a `hidden beast` number, since 6 + 7 + 7 + 6 + 4 + 588 + 6 + 8 + 34 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1309722 + ... + 1752330.

It is an arithmetic number, because the mean of its divisors is an integer number (18124879500).

Almost surely, 2677645886834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677645886834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869994216000).

677645886834 is an abundant number, since it is smaller than the sum of its proper divisors (1062342545166).

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

677645886834 is a wasteful number, since it uses less digits than its factorization.

677645886834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443072 (or 443069 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 677645886834 in words is "six hundred seventy-seven billion, six hundred forty-five million, eight hundred eighty-six thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 419 522 609 838 1218 1257 1827 2514 2933 3654 3771 5866 7542 8799 12151 17598 24302 26397 36453 52794 72906 85057 109359 170114 218718 255171 442609 510342 765513 885218 1327827 1531026 2655654 3098263 3983481 6196526 7966962 9294789 12835661 18589578 25671322 27884367 38506983 55768734 77013966 89849627 115520949 179699254 185453171 231041898 269548881 370906342 539097762 556359513 808646643 1112719026 1298172197 1617293286 1669078539 2596344394 3338157078 3894516591 5378141959 7789033182 10756283918 11683549773 16134425877 23367099546 32268851754 37646993713 48403277631 75293987426 96806555262 112940981139 225881962278 338822943417 677645886834