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85915110681 = 3267314184433
BaseRepresentation
bin101000000000011110…
…0001000110100011001
322012202120102211102100
41100000330020310121
52401423232020211
6103245134554013
76131025251151
oct1200074106431
9265676384370
1085915110681
1133488927304
1214798968909
13814274abca
1442305ab761
15237c939156
hex1400f08d19

85915110681 has 12 divisors (see below), whose sum is σ = 124284010708. Its totient is φ = 57191629824.

The previous prime is 85915110653. The next prime is 85915110683. The reversal of 85915110681 is 18601151958.

85915110681 is a `hidden beast` number, since 8 + 59 + 1 + 511 + 0 + 6 + 81 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61066317456 + 24848793225 = 247116^2 + 157635^2 .

It is not a de Polignac number, because 85915110681 - 25 = 85915110649 is a prime.

It is a super-2 number, since 2×859151106812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85915110683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7086160 + ... + 7098273.

Almost surely, 285915110681 is an apocalyptic number.

It is an amenable number.

85915110681 is a deficient number, since it is larger than the sum of its proper divisors (38368900027).

85915110681 is a wasteful number, since it uses less digits than its factorization.

85915110681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14185112 (or 14185109 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 45.

The spelling of 85915110681 in words is "eighty-five billion, nine hundred fifteen million, one hundred ten thousand, six hundred eighty-one".

Divisors: 1 3 9 673 2019 6057 14184433 42553299 127659897 9546123409 28638370227 85915110681