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85368430852065 = 325167143925313119
BaseRepresentation
bin10011011010010001100010…
…111111101111011111100001
3102012021010211201121122100200
4103122101202333233133201
542142134021244231230
6501321414332535413
723660444204342364
oct2332214277573741
9365233751548320
1085368430852065
1125223603735999
1296a8b82921569
13388329307970a
141711bd59120db
159d09672c2160
hex4da462fef7e1

85368430852065 has 96 divisors (see below), whose sum is σ = 149068084838400. Its totient is φ = 45193382551680.

The previous prime is 85368430852039. The next prime is 85368430852069. The reversal of 85368430852065 is 56025803486358.

85368430852065 is a `hidden beast` number, since 8 + 5 + 3 + 6 + 8 + 43 + 0 + 8 + 520 + 65 = 666.

It is not a de Polignac number, because 85368430852065 - 212 = 85368430847969 is a prime.

It is a super-2 number, since 2×853684308520652 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85368430851993 and 85368430852011.

It is not an unprimeable number, because it can be changed into a prime (85368430852069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27370447576 + ... + 27370450694.

It is an arithmetic number, because the mean of its divisors is an integer number (1552792550400).

Almost surely, 285368430852065 is an apocalyptic number.

It is an amenable number.

85368430852065 is a deficient number, since it is larger than the sum of its proper divisors (63699653986335).

85368430852065 is a wasteful number, since it uses less digits than its factorization.

85368430852065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7267 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 85368430852065 in words is "eighty-five trillion, three hundred sixty-eight billion, four hundred thirty million, eight hundred fifty-two thousand, sixty-five".

Divisors: 1 3 5 9 15 45 167 501 835 1439 1503 2505 2531 3119 4317 7195 7515 7593 9357 12655 12951 15595 21585 22779 28071 37965 46785 64755 113895 140355 240313 422677 520873 720939 1201565 1268031 1562619 2113385 2162817 2604365 3604695 3642109 3804093 4488241 4687857 6340155 7813095 7894189 10814085 10926327 13464723 18210545 19020465 22441205 23439285 23682567 32778981 39470945 40394169 54631635 67323615 71047701 118412835 163894905 201970845 355238505 608232203 749536247 1318329563 1824696609 2248608741 3041161015 3747681235 3954988689 5474089827 6591647815 6745826223 9123483045 11243043705 11359737971 11864966067 19774943445 27370449135 33729131115 34079213913 56798689855 59324830335 102237641739 170396069565 511188208695 1897076241157 5691228723471 9485381205785 17073686170413 28456143617355 85368430852065