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642605013 = 32411741477
BaseRepresentation
bin100110010011010…
…101111111010101
31122210011201100200
4212103111333111
52304001330023
6143433131113
721632024001
oct4623257725
91583151320
10642605013
112aa808726
1215b259a99
13a319506b
14614b7701
153b636743
hex264d5fd5

642605013 has 12 divisors (see below), whose sum is σ = 950846988. Its totient is φ = 417954240.

The previous prime is 642604979. The next prime is 642605059. The reversal of 642605013 is 310506246.

642605013 is a `hidden beast` number, since 6 + 42 + 605 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 185586129 + 457018884 = 13623^2 + 21378^2 .

It is not a de Polignac number, because 642605013 - 210 = 642603989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642605413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870370 + ... + 871107.

It is an arithmetic number, because the mean of its divisors is an integer number (79237249).

Almost surely, 2642605013 is an apocalyptic number.

It is an amenable number.

642605013 is a deficient number, since it is larger than the sum of its proper divisors (308241975).

642605013 is a wasteful number, since it uses less digits than its factorization.

642605013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741524 (or 1741521 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 642605013 is about 25349.6550864109. The cubic root of 642605013 is about 862.9415286926.

The spelling of 642605013 in words is "six hundred forty-two million, six hundred five thousand, thirteen".

Divisors: 1 3 9 41 123 369 1741477 5224431 15673293 71400557 214201671 642605013