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85386384437 = 2571771318757
BaseRepresentation
bin100111110000101101…
…1001101010000110101
322011101201112202100212
41033201123031100311
52344332403300222
6103120450315205
76111645202214
oct1174133152065
9264351482325
1085386384437
113323742a472
121466b888b05
13808a048843
1441c029907b
15234b2e96e2
hex13e16cd435

85386384437 has 8 divisors (see below), whose sum is σ = 85728036696. Its totient is φ = 85044805632.

The previous prime is 85386384409. The next prime is 85386384509. The reversal of 85386384437 is 73448368358.

It can be written as a sum of positive squares in 4 ways, for example, as 63338292241 + 22048092196 = 251671^2 + 148486^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85386384437 - 210 = 85386383413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85386384637) 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 7 ways as a sum of consecutive naturals, for example, 4542863 + ... + 4561619.

It is an arithmetic number, because the mean of its divisors is an integer number (10716004587).

Almost surely, 285386384437 is an apocalyptic number.

It is an amenable number.

85386384437 is a deficient number, since it is larger than the sum of its proper divisors (341652259).

85386384437 is a wasteful number, since it uses less digits than its factorization.

85386384437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36727.

The product of its digits is 46448640, while the sum is 59.

The spelling of 85386384437 in words is "eighty-five billion, three hundred eighty-six million, three hundred eighty-four thousand, four hundred thirty-seven".

Divisors: 1 257 17713 18757 4552241 4820549 332242741 85386384437