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206681970656 = 2577317373061
BaseRepresentation
bin1100000001111100110…
…1001001011111100000
3201202111000120222001002
43000133031021133200
511341241041030111
6234540503531132
720634525523010
oct3003715113740
9652430528032
10206681970656
117a7206476a7
1234081459aa8
131664a783b75
14a0096d3c40
155599dbc63b
hex301f3497e0

206681970656 has 96 divisors (see below), whose sum is σ = 474136141248. Its totient is φ = 86858403840.

The previous prime is 206681970631. The next prime is 206681970673. The reversal of 206681970656 is 656079186602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2792366 + ... + 2865426.

It is an arithmetic number, because the mean of its divisors is an integer number (4938918138).

Almost surely, 2206681970656 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 206681970656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237068070624).

206681970656 is an abundant number, since it is smaller than the sum of its proper divisors (267454170592).

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

206681970656 is a wasteful number, since it uses less digits than its factorization.

206681970656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73324 (or 73316 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 206681970656 in words is "two hundred six billion, six hundred eighty-one million, nine hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 173 224 292 346 511 584 692 1022 1168 1211 1384 2044 2336 2422 2768 4088 4844 5536 8176 9688 12629 16352 19376 25258 38752 50516 73061 88403 101032 146122 176806 202064 292244 353612 404128 511427 584488 707224 1022854 1168976 1414448 2045708 2337952 2828896 4091416 5333453 8182832 10666906 12639553 16365664 21333812 25279106 37334171 42667624 50558212 74668342 85335248 88476871 101116424 149336684 170670496 176953742 202232848 298673368 353907484 404465696 597346736 707814968 922687369 1194693472 1415629936 1845374738 2831259872 3690749476 6458811583 7381498952 12917623166 14762997904 25835246332 29525995808 51670492664 103340985328 206681970656