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85807681705317 = 311134310883427417
BaseRepresentation
bin10011100000101010101000…
…011000110001010101100101
3102020211010121212120221201010
4103200222220120301111211
542221333113004032232
6502255301011052433
724034254226111035
oct2340525030612545
9366733555527633
1085807681705317
1125382919359290
12975a12aba1119
1338b58254b0cc0
1417291849938c5
159dc0c4a230cc
hex4e0aa8631565

85807681705317 has 64 divisors (see below), whose sum is σ = 137550853794816. Its totient is φ = 46883500392960.

The previous prime is 85807681705271. The next prime is 85807681705357. The reversal of 85807681705317 is 71350718670858.

It is not a de Polignac number, because 85807681705317 - 210 = 85807681704293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85807681705357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200544993 + ... + 200972409.

It is an arithmetic number, because the mean of its divisors is an integer number (2149232090544).

Almost surely, 285807681705317 is an apocalyptic number.

It is an amenable number.

85807681705317 is a deficient number, since it is larger than the sum of its proper divisors (51743172089499).

85807681705317 is a wasteful number, since it uses less digits than its factorization.

85807681705317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438370.

The product of its (nonzero) digits is 79027200, while the sum is 66.

The spelling of 85807681705317 in words is "eighty-five trillion, eight hundred seven billion, six hundred eighty-one million, seven hundred five thousand, three hundred seventeen".

Divisors: 1 3 11 13 33 39 43 129 143 429 473 559 1419 1677 6149 10883 18447 32649 119713 141479 359139 424437 427417 467969 1282251 1403907 1556269 4668807 4701587 5147659 5556421 6083597 14104761 15442977 16669263 18250791 18378931 55136793 61120631 66919567 183361893 200758701 202168241 238926103 606504723 716778309 2628187133 4651579211 7884561399 13954737633 51167371321 60470529743 153502113963 181411589229 200017906073 600053718219 665175827173 1995527481519 2200196966803 2600232778949 6600590900409 7800698336847 28602560568439 85807681705317