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42517846953 = 324724205217
BaseRepresentation
bin100111100110010000…
…101101101110101001
311001202010211102012100
4213212100231232221
51144034032100303
631311001004013
73033426510321
oct474620555651
9131663742170
1042517846953
111703924179a
1282a7183609
1340178c012a
1420b4b46281
15118ca8a8a3
hex9e642dba9

42517846953 has 6 divisors (see below), whose sum is σ = 61414667834. Its totient is φ = 28345231296.

The previous prime is 42517846951. The next prime is 42517846967. The reversal of 42517846953 is 35964871524.

It is a happy number.

42517846953 is a `hidden beast` number, since 4 + 2 + 5 + 178 + 469 + 5 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24224743449 + 18293103504 = 155643^2 + 135252^2 .

It is not a de Polignac number, because 42517846953 - 21 = 42517846951 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42517846953.

It is not an unprimeable number, because it can be changed into a prime (42517846951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2362102600 + ... + 2362102617.

Almost surely, 242517846953 is an apocalyptic number.

It is an amenable number.

42517846953 is a deficient number, since it is larger than the sum of its proper divisors (18896820881).

42517846953 is a wasteful number, since it uses less digits than its factorization.

42517846953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724205223 (or 4724205220 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

It can be divided in two parts, 4251 and 7846953, that added together give a square (7851204 = 28022).

The spelling of 42517846953 in words is "forty-two billion, five hundred seventeen million, eight hundred forty-six thousand, nine hundred fifty-three".

Divisors: 1 3 9 4724205217 14172615651 42517846953