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542240260641 = 32312864367853
BaseRepresentation
bin1111110010000000000…
…10011100001000100001
31220211121122201021121100
413321000002130020201
532341002001320031
61053033550345013
754114135111312
oct7710002341041
91824548637540
10542240260641
11199a65544512
128910b1bb169
133c19638a041
141c35d14c609
15e18913ade6
hex7e4009c221

542240260641 has 24 divisors (see below), whose sum is σ = 808541750016. Its totient is φ = 349815057120.

The previous prime is 542240260633. The next prime is 542240260649. The reversal of 542240260641 is 146062042245.

542240260641 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 4 + 0 + 2 + 6 + 0 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (542240260633) and next prime (542240260649).

It is not a de Polignac number, because 542240260641 - 23 = 542240260633 is a prime.

It is a super-2 number, since 2×5422402606412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542240260596 and 542240260605.

It is not an unprimeable number, because it can be changed into a prime (542240260649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7957471 + ... + 8025323.

It is an arithmetic number, because the mean of its divisors is an integer number (33689239584).

Almost surely, 2542240260641 is an apocalyptic number.

It is an amenable number.

542240260641 is a deficient number, since it is larger than the sum of its proper divisors (266301489375).

542240260641 is a wasteful number, since it uses less digits than its factorization.

542240260641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96533 (or 96530 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 542240260641 in words is "five hundred forty-two billion, two hundred forty million, two hundred sixty thousand, six hundred forty-one".

Divisors: 1 3 9 31 93 279 28643 67853 85929 203559 257787 610677 887933 2103443 2663799 6310329 7991397 18930987 1943513479 5830540437 17491621311 60248917849 180746753547 542240260641