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85617570319 = 2937127628289
BaseRepresentation
bin100111110111100110…
…1000111001000001111
322011222211120012202221
41033233031013020033
52400321044222234
6103155425400211
76120453224431
oct1175715071017
9264884505687
1085617570319
1133345982886
1214715199067
1380c5c01818
144202c78651
152361763eb4
hex13ef34720f

85617570319 has 16 divisors (see below), whose sum is σ = 91680076800. Its totient is φ = 79797602304.

The previous prime is 85617570293. The next prime is 85617570323. The reversal of 85617570319 is 91307571658.

It is a cyclic number.

It is not a de Polignac number, because 85617570319 - 25 = 85617570287 is a prime.

It is a super-2 number, since 2×856175703192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85617570349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177874 + ... + 450415.

It is an arithmetic number, because the mean of its divisors is an integer number (5730004800).

Almost surely, 285617570319 is an apocalyptic number.

85617570319 is a deficient number, since it is larger than the sum of its proper divisors (6062506481).

85617570319 is a wasteful number, since it uses less digits than its factorization.

85617570319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628482.

The product of its (nonzero) digits is 1587600, while the sum is 52.

The spelling of 85617570319 in words is "eighty-five billion, six hundred seventeen million, five hundred seventy thousand, three hundred nineteen".

Divisors: 1 29 37 127 1073 3683 4699 136271 628289 18220381 23246693 79792703 674154097 2313988387 2952330011 85617570319