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642574701 = 347933021
BaseRepresentation
bin100110010011001…
…110100101101101
31122210010011210000
4212103032211231
52303444342301
6143432334513
721631536426
oct4623164555
91583104700
10642574701
112aa79797a
1215b244439
13a3184322
14614aa64d
153b62c786
hex264ce96d

642574701 has 10 divisors (see below), whose sum is σ = 959895662. Its totient is φ = 428383080.

The previous prime is 642574679. The next prime is 642574711. The reversal of 642574701 is 107475246.

642574701 is a `hidden beast` number, since 642 + 5 + 7 + 4 + 7 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 404613225 + 237961476 = 20115^2 + 15426^2 .

It is not a de Polignac number, because 642574701 - 211 = 642572653 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 (642574711) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3966430 + ... + 3966591.

Almost surely, 2642574701 is an apocalyptic number.

It is an amenable number.

642574701 is a deficient number, since it is larger than the sum of its proper divisors (317320961).

642574701 is an equidigital number, since it uses as much as digits as its factorization.

642574701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7933033 (or 7933024 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 642574701 is about 25349.0572014030. The cubic root of 642574701 is about 862.9279600181.

The spelling of 642574701 in words is "six hundred forty-two million, five hundred seventy-four thousand, seven hundred one".

Divisors: 1 3 9 27 81 7933021 23799063 71397189 214191567 642574701