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542421201605 = 51924131323417
BaseRepresentation
bin1111110010010101101…
…00101011001011000101
31220212002021012000221112
413321022310223023011
532341334311422410
61053103532454405
754121463066063
oct7711264531305
91825067160845
10542421201605
1119a04869a0a8
128915b91a405
133c1c4a002ba
141c3791ad033
15e199e7d105
hex7e4ad2b2c5

542421201605 has 48 divisors (see below), whose sum is σ = 706000431024. Its totient is φ = 399772938240.

The previous prime is 542421201593. The next prime is 542421201629. The reversal of 542421201605 is 506102124245.

It can be written as a sum of positive squares in 8 ways, for example, as 249054894916 + 293366306689 = 499054^2 + 541633^2 .

It is not a de Polignac number, because 542421201605 - 228 = 542152766149 is a prime.

It is a super-2 number, since 2×5424212016052 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23151857 + ... + 23175273.

It is an arithmetic number, because the mean of its divisors is an integer number (14708342313).

Almost surely, 2542421201605 is an apocalyptic number.

It is an amenable number.

542421201605 is a deficient number, since it is larger than the sum of its proper divisors (163579229419).

542421201605 is a wasteful number, since it uses less digits than its factorization.

542421201605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23814 (or 23795 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 542421201605 in words is "five hundred forty-two billion, four hundred twenty-one million, two hundred one thousand, six hundred five".

Divisors: 1 5 19 41 95 205 313 361 779 1565 1805 3895 5947 12833 14801 23417 29735 64165 74005 112993 117085 243827 444923 564965 960097 1219135 2224615 4632713 4800485 7329521 8453537 18241843 23163565 36647605 42267685 91209215 139260899 300510361 346595017 696304495 1502551805 1732975085 2645957081 5709696859 13229785405 28548484295 108484240321 542421201605