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414527106327 = 31755631461079
BaseRepresentation
bin1100000100000111011…
…11011010110100010111
31110121222002212211111220
412002003233122310113
523242422414400302
6514233042301423
741643240160455
oct6020357326427
91417862784456
10414527106327
1114a8888213a4
1268408357873
1330122203149
14160c56899d5
15abb1e4b4bc
hex6083bdad17

414527106327 has 16 divisors (see below), whose sum is σ = 585320336640. Its totient is φ = 260048506752.

The previous prime is 414527106317. The next prime is 414527106347. The reversal of 414527106327 is 723601725414.

414527106327 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 414527106327 - 27 = 414527106199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414527106317) 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, 446827 + ... + 1014252.

It is an arithmetic number, because the mean of its divisors is an integer number (36582521040).

Almost surely, 2414527106327 is an apocalyptic number.

414527106327 is a deficient number, since it is larger than the sum of its proper divisors (170793230313).

414527106327 is a wasteful number, since it uses less digits than its factorization.

414527106327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466662.

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 414527106327 in words is "four hundred fourteen billion, five hundred twenty-seven million, one hundred six thousand, three hundred twenty-seven".

Divisors: 1 3 17 51 5563 16689 94571 283713 1461079 4383237 24838343 74515029 8127982477 24383947431 138175702109 414527106327