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542212144553052 = 223223256475041889
BaseRepresentation
bin111101101001000111001101…
…0010001001101110001011100
32122002210222022121202102001200
41323102032122101031301130
51032032100433001144202
65201104453121035500
7222131351255462631
oct17322163221156134
92562728277672050
10542212144553052
11147846974182326
125099041a185b90
131a3715028b903c
1497c72ca392188
1542a42aed42e1c
hex1ed239a44dc5c

542212144553052 has 108 divisors (see below), whose sum is σ = 1433027676094560. Its totient is φ = 172848585862656.

The previous prime is 542212144553039. The next prime is 542212144553071. The reversal of 542212144553052 is 250355441212245.

542212144553052 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 1 + 2 + 1 + 44 + 553 + 0 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 542212144552989 and 542212144553007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105020524 + ... + 110062412.

Almost surely, 2542212144553052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542212144553052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716513838047280).

542212144553052 is an abundant number, since it is smaller than the sum of its proper divisors (890815531541508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542212144553052 is a wasteful number, since it uses less digits than its factorization.

542212144553052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047592 (or 5047564 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

Adding to 542212144553052 its reverse (250355441212245), we get a palindrome (792567585765297).

The spelling of 542212144553052 in words is "five hundred forty-two trillion, two hundred twelve billion, one hundred forty-four million, five hundred fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 5647 6348 9522 11294 16941 19044 22588 33882 50823 67764 101646 129881 203292 259762 389643 519524 779286 1168929 1558572 2337858 2987263 4675716 5041889 5974526 8961789 10083778 11949052 15125667 17923578 20167556 26885367 30251334 35847156 45377001 53770734 60502668 90754002 107541468 115963447 181508004 231926894 347890341 463853788 695780682 1043671023 1391561364 2087342046 2667159281 4174684092 5334318562 8001477843 10668637124 16002955686 24004433529 28471547183 32005911372 48008867058 56943094366 85414641549 96017734116 113886188732 170829283098 256243924647 341658566196 512487849294 654845585209 1024975698588 1309691170418 1964536755627 2619382340836 3929073511254 5893610266881 7858147022508 11787220533762 15061448459807 23574441067524 30122896919614 45184345379421 60245793839228 90368690758842 135553036138263 180737381517684 271106072276526 542212144553052