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542601424431 = 331137101488879
BaseRepresentation
bin1111110010101011001…
…00001010111000101111
31220212112211022022012000
413321111210022320233
532342221431040211
61053133451343343
754126112003053
oct7712544127057
91825484268160
10542601424431
1119a1303a4190
12891b0151b53
133c223151721
141c3950c3c63
15e1aabcc656
hex7e5590ae2f

542601424431 has 64 divisors (see below), whose sum is σ = 909551462400. Its totient is φ = 316792944000.

The previous prime is 542601424427. The next prime is 542601424439. The reversal of 542601424431 is 134424106245.

542601424431 is a `hidden beast` number, since 5 + 4 + 2 + 601 + 4 + 2 + 4 + 43 + 1 = 666.

It is not a de Polignac number, because 542601424431 - 22 = 542601424427 is a prime.

It is a super-2 number, since 2×5426014244312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542601424439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 865450 + ... + 1354328.

It is an arithmetic number, because the mean of its divisors is an integer number (14211741600).

Almost surely, 2542601424431 is an apocalyptic number.

542601424431 is a deficient number, since it is larger than the sum of its proper divisors (366950037969).

542601424431 is a wasteful number, since it uses less digits than its factorization.

542601424431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489037 (or 489031 counting only the distinct ones).

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

The spelling of 542601424431 in words is "five hundred forty-two billion, six hundred one million, four hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 37 99 101 111 297 303 333 407 909 999 1111 1221 2727 3333 3663 3737 9999 10989 11211 29997 33633 41107 100899 123321 369963 488879 1109889 1466637 4399911 5377669 13199733 16133007 18088523 48399021 49376779 54265569 145197063 148130337 162796707 198973753 444391011 488390121 543144569 596921259 1333173033 1629433707 1790763777 1826940823 4888301121 5372291331 5480822469 14664903363 16442467407 20096349053 49327402221 60289047159 180867141477 542601424431