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85627302641 = 1947313306349
BaseRepresentation
bin100111110111111001…
…0001111001011110001
322012000111212200000022
41033233302033023301
52400331042141031
6103200414133225
76120632030516
oct1175762171361
9265014780008
1085627302641
113335041a921
12147184b1215
1380c7c2b5aa
14420428d30d
15236253797b
hex13efc8f2f1

85627302641 has 16 divisors (see below), whose sum is σ = 92346144000. Its totient is φ = 79140716928.

The previous prime is 85627302619. The next prime is 85627302659. The reversal of 85627302641 is 14620372658.

It is a cyclic number.

It is not a de Polignac number, because 85627302641 - 214 = 85627286257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85627302592 and 85627302601.

It is not an unprimeable number, because it can be changed into a prime (85627332641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126335 + ... + 432683.

It is an arithmetic number, because the mean of its divisors is an integer number (5771634000).

Almost surely, 285627302641 is an apocalyptic number.

It is an amenable number.

85627302641 is a deficient number, since it is larger than the sum of its proper divisors (6718841359).

85627302641 is a wasteful number, since it uses less digits than its factorization.

85627302641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306728.

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 85627302641 in words is "eighty-five billion, six hundred twenty-seven million, three hundred two thousand, six hundred forty-one".

Divisors: 1 19 47 313 893 5947 14711 279509 306349 5820631 14398403 95887237 273569657 1821857503 4506700139 85627302641