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42054561351 = 3211424793549
BaseRepresentation
bin100111001010101001…
…011010111001000111
311000112212002001211100
4213022221122321013
51142111431430401
631153011111143
73016102605405
oct471251327107
9130485061740
1042054561351
1116920781430
128197ba24b3
133c7292123a
14206d3ca475
151162075b86
hex9caa5ae47

42054561351 has 12 divisors (see below), whose sum is σ = 66267793800. Its totient is φ = 25487612880.

The previous prime is 42054561349. The next prime is 42054561377. The reversal of 42054561351 is 15316545024.

42054561351 is a `hidden beast` number, since 4 + 2 + 0 + 545 + 61 + 3 + 51 = 666.

It is not a de Polignac number, because 42054561351 - 21 = 42054561349 is a prime.

It is a super-2 number, since 2×420545613512 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42054561551) 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 11 ways as a sum of consecutive naturals, for example, 212396676 + ... + 212396873.

It is an arithmetic number, because the mean of its divisors is an integer number (5522316150).

Almost surely, 242054561351 is an apocalyptic number.

42054561351 is a deficient number, since it is larger than the sum of its proper divisors (24213232449).

42054561351 is a wasteful number, since it uses less digits than its factorization.

42054561351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424793566 (or 424793563 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 42054561351 in words is "forty-two billion, fifty-four million, five hundred sixty-one thousand, three hundred fifty-one".

Divisors: 1 3 9 11 33 99 424793549 1274380647 3823141941 4672729039 14018187117 42054561351