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85687674471 = 3371992278261
BaseRepresentation
bin100111111001101100…
…0100010011001100111
322012011201110212121000
41033303120202121213
52400442021040341
6103210412124343
76122264133630
oct1176330423147
9265151425530
1085687674471
11333815050a3
12147347666b3
1381075a8879
14420c2c6887
1523679b08b6
hex13f3622667

85687674471 has 32 divisors (see below), whose sum is σ = 145808768000. Its totient is φ = 48718311840.

The previous prime is 85687674431. The next prime is 85687674473. The reversal of 85687674471 is 17447678658.

85687674471 is a `hidden beast` number, since 8 + 56 + 87 + 67 + 447 + 1 = 666.

It is not a de Polignac number, because 85687674471 - 213 = 85687666279 is a prime.

It is a super-3 number, since 3×856876744713 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 85687674399 and 85687674408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85687674473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101520 + ... + 1176741.

It is an arithmetic number, because the mean of its divisors is an integer number (4556524000).

Almost surely, 285687674471 is an apocalyptic number.

85687674471 is a deficient number, since it is larger than the sum of its proper divisors (60121093529).

85687674471 is a wasteful number, since it uses less digits than its factorization.

85687674471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278476 (or 2278470 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 85687674471 in words is "eighty-five billion, six hundred eighty-seven million, six hundred seventy-four thousand, four hundred seventy-one".

Divisors: 1 3 7 9 21 27 63 189 199 597 1393 1791 4179 5373 12537 37611 2278261 6834783 15947827 20504349 47843481 61513047 143530443 430591329 453373939 1360121817 3173617573 4080365451 9520852719 12241096353 28562558157 85687674471