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85441368519 = 32133592034173
BaseRepresentation
bin100111110010010110…
…0111101000111000111
322011112120000020100100
41033210230331013013
52344440442243034
6103130133015143
76113213435523
oct1174454750707
9264476006310
1085441368519
1133265474861
12146861844b3
13809855a6c0
1441c76ccd83
15235105b099
hex13e4b3d1c7

85441368519 has 24 divisors (see below), whose sum is σ = 133279080480. Its totient is φ = 52432817472.

The previous prime is 85441368511. The next prime is 85441368601. The reversal of 85441368519 is 91586314458.

It is a happy number.

85441368519 is a `hidden beast` number, since 8 + 54 + 4 + 13 + 68 + 519 = 666.

It is not a de Polignac number, because 85441368519 - 23 = 85441368511 is a prime.

It is a super-3 number, since 3×854413685193 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85441368511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975084 + ... + 1059089.

It is an arithmetic number, because the mean of its divisors is an integer number (5553295020).

Almost surely, 285441368519 is an apocalyptic number.

85441368519 is a deficient number, since it is larger than the sum of its proper divisors (47837711961).

85441368519 is a wasteful number, since it uses less digits than its factorization.

85441368519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034551 (or 2034548 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 85441368519 in words is "eighty-five billion, four hundred forty-one million, three hundred sixty-eight thousand, five hundred nineteen".

Divisors: 1 3 9 13 39 117 359 1077 3231 4667 14001 42003 2034173 6102519 18307557 26444249 79332747 237998241 730268107 2190804321 6572412963 9493485391 28480456173 85441368519