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85420292181 = 3722325264801
BaseRepresentation
bin100111110001101110…
…0100011100001010101
322011111002100110001020
41033203130203201111
52344420043322211
6103124101151353
76112536334500
oct1174334434125
9264432313036
1085420292181
11332545898a4
121467b0bb559
13809408b3b3
1441c49a4137
15234e296306
hex13e3723855

85420292181 has 24 divisors (see below), whose sum is σ = 138248996544. Its totient is φ = 46689350400.

The previous prime is 85420292161. The next prime is 85420292203. The reversal of 85420292181 is 18129202458.

It is not a de Polignac number, because 85420292181 - 26 = 85420292117 is a prime.

It is a super-2 number, since 2×854202921812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85420292141) 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, 12629020 + ... + 12635781.

It is an arithmetic number, because the mean of its divisors is an integer number (5760374856).

Almost surely, 285420292181 is an apocalyptic number.

It is an amenable number.

85420292181 is a deficient number, since it is larger than the sum of its proper divisors (52828704363).

85420292181 is a wasteful number, since it uses less digits than its factorization.

85420292181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25264841 (or 25264834 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 85420292181 in words is "eighty-five billion, four hundred twenty million, two hundred ninety-two thousand, one hundred eighty-one".

Divisors: 1 3 7 21 23 49 69 147 161 483 1127 3381 25264801 75794403 176853607 530560821 581090423 1237975249 1743271269 3713925747 4067632961 12202898883 28473430727 85420292181