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85205894697 = 32711122952229
BaseRepresentation
bin100111101011010101…
…0101100011000101001
322010221010220220222200
41033112222230120221
52344000202112242
6103050522010413
76104324104110
oct1172652543051
9263833826880
1085205894697
11331545628a0
121461b346a09
13805b832a91
1441a4314c77
15233a54604c
hex13d6aac629

85205894697 has 24 divisors (see below), whose sum is σ = 153444383040. Its totient is φ = 44262802080.

The previous prime is 85205894693. The next prime is 85205894699. The reversal of 85205894697 is 79649850258.

85205894697 is a `hidden beast` number, since 8 + 5 + 2 + 0 + 589 + 46 + 9 + 7 = 666.

It is not a de Polignac number, because 85205894697 - 22 = 85205894693 is a prime.

It is a super-2 number, since 2×852058946972 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (85205894693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61475422 + ... + 61476807.

It is an arithmetic number, because the mean of its divisors is an integer number (6393515960).

Almost surely, 285205894697 is an apocalyptic number.

It is an amenable number.

85205894697 is a deficient number, since it is larger than the sum of its proper divisors (68238488343).

85205894697 is a wasteful number, since it uses less digits than its factorization.

85205894697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122952253 (or 122952250 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 85205894697 in words is "eighty-five billion, two hundred five million, eight hundred ninety-four thousand, six hundred ninety-seven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 122952229 368856687 860665603 1106570061 1352474519 2581996809 4057423557 7745990427 9467321633 12172270671 28401964899 85205894697