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85387374873 = 3229327154693
BaseRepresentation
bin100111110000101111…
…0111111000100011001
322011101210102001222200
41033201132333010121
52344333131443443
6103120523440413
76111656465613
oct1174136770431
9264353361880
1085387374873
1133237a46609
1214670086109
13808a3045b8
1441c0475db3
15234b442dd3
hex13e17bf119

85387374873 has 12 divisors (see below), whose sum is σ = 127590330660. Its totient is φ = 54961988256.

The previous prime is 85387374841. The next prime is 85387374881. The reversal of 85387374873 is 37847378358.

85387374873 is a `hidden beast` number, since 85 + 3 + 8 + 73 + 7 + 487 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68687498889 + 16699875984 = 262083^2 + 129228^2 .

It is not a de Polignac number, because 85387374873 - 25 = 85387374841 is a prime.

It is a super-3 number, since 3×853873748733 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 85387374873.

It is not an unprimeable number, because it can be changed into a prime (85387374803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163577086 + ... + 163577607.

It is an arithmetic number, because the mean of its divisors is an integer number (10632527555).

Almost surely, 285387374873 is an apocalyptic number.

It is an amenable number.

85387374873 is a deficient number, since it is larger than the sum of its proper divisors (42202955787).

85387374873 is a wasteful number, since it uses less digits than its factorization.

85387374873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327154728 (or 327154725 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 85387374873 in words is "eighty-five billion, three hundred eighty-seven million, three hundred seventy-four thousand, eight hundred seventy-three".

Divisors: 1 3 9 29 87 261 327154693 981464079 2944392237 9487486097 28462458291 85387374873