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414048750085 = 51972521166741
BaseRepresentation
bin1100000011001110011…
…10101000101000000101
31110120201202202211010001
412001213032220220011
523240432440000320
6514113353401301
741625341210035
oct6014716505005
91416652684101
10414048750085
1114a6627a8263
12682b4109231
1330077088709
141607bd298c5
15ab84e5b20a
hex60673a8a05

414048750085 has 16 divisors (see below), whose sum is σ = 499581708912. Its totient is φ = 329424883200.

The previous prime is 414048750077. The next prime is 414048750113. The reversal of 414048750085 is 580057840414.

It can be written as a sum of positive squares in 8 ways, for example, as 545736321 + 413503013764 = 23361^2 + 643042^2 .

It is not a de Polignac number, because 414048750085 - 23 = 414048750077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2399815 + ... + 2566555.

It is an arithmetic number, because the mean of its divisors is an integer number (31223856807).

Almost surely, 2414048750085 is an apocalyptic number.

It is an amenable number.

414048750085 is a deficient number, since it is larger than the sum of its proper divisors (85532958827).

414048750085 is a wasteful number, since it uses less digits than its factorization.

414048750085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169464.

The product of its (nonzero) digits is 716800, while the sum is 46.

The spelling of 414048750085 in words is "four hundred fourteen billion, forty-eight million, seven hundred fifty thousand, eighty-five".

Divisors: 1 5 197 985 2521 12605 166741 496637 833705 2483185 32847977 164239885 420354061 2101770305 82809750017 414048750085