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42352513461 = 324705834829
BaseRepresentation
bin100111011100011010…
…000001000110110101
311001022121201121021200
4213130122001012311
51143214220412321
631242333203113
73026351265426
oct473432010665
9131277647250
1042352513461
1116a63987245
12825b930499
133cbc582b6b
14209abc964d
15117d2ccd26
hex9dc6811b5

42352513461 has 6 divisors (see below), whose sum is σ = 61175852790. Its totient is φ = 28235008968.

The previous prime is 42352513403. The next prime is 42352513487. The reversal of 42352513461 is 16431525324.

42352513461 is a `hidden beast` number, since 42 + 3 + 525 + 1 + 34 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39295529361 + 3056984100 = 198231^2 + 55290^2 .

It is not a de Polignac number, because 42352513461 - 215 = 42352480693 is a prime.

It is a super-3 number, since 3×423525134613 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42352515461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2352917406 + ... + 2352917423.

It is an arithmetic number, because the mean of its divisors is an integer number (10195975465).

Almost surely, 242352513461 is an apocalyptic number.

It is an amenable number.

42352513461 is a deficient number, since it is larger than the sum of its proper divisors (18823339329).

42352513461 is a wasteful number, since it uses less digits than its factorization.

42352513461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705834835 (or 4705834832 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 42352513461 in words is "forty-two billion, three hundred fifty-two million, five hundred thirteen thousand, four hundred sixty-one".

Divisors: 1 3 9 4705834829 14117504487 42352513461