Search a number
-
+
564055297452588 = 2231723071030351421
BaseRepresentation
bin1000000001000000010101101…
…1101000110110101000101100
32201222011011022111120111202110
42000100011123220312220230
51042412440222121440323
65315351232034324020
7226544436044616414
oct20020053350665054
92658134274514673
10564055297452588
111537a8565580087
1253319841a29610
131b297256454646
149d405ca1d3644
15453258ce11793
hex201015ba36a2c

564055297452588 has 144 divisors (see below), whose sum is σ = 1402819962435584. Its totient is φ = 176361563243520.

The previous prime is 564055297452509. The next prime is 564055297452589. The reversal of 564055297452588 is 885254792550465.

It is not an unprimeable number, because it can be changed into a prime (564055297452589) 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 47 ways as a sum of consecutive naturals, for example, 10969331118 + ... + 10969382538.

Almost surely, 2564055297452588 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 564055297452588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701409981217792).

564055297452588 is an abundant number, since it is smaller than the sum of its proper divisors (838764664982996).

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

564055297452588 is a wasteful number, since it uses less digits than its factorization.

564055297452588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62072 (or 62053 counting only the distinct ones).

The product of its (nonzero) digits is 4838400000, while the sum is 75.

The spelling of 564055297452588 in words is "five hundred sixty-four trillion, fifty-five billion, two hundred ninety-seven million, four hundred fifty-two thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 307 578 614 867 921 1156 1228 1734 1842 3468 3684 5219 10303 10438 15657 20606 20876 30909 31314 41212 51421 61818 62628 88723 102842 123636 154263 175151 177446 205684 266169 308526 350302 354892 525453 532338 617052 700604 874157 1050906 1064676 1748314 2101812 2622471 2977567 3163021 3496628 5244942 5955134 6326042 8932701 9489063 10489884 11910268 12652084 14860669 15786247 17865402 18978126 29721338 31572494 35730804 37956252 44582007 47358741 53771357 59442676 63144988 89164014 94717482 107542714 161314071 178328028 189434964 215085428 268366199 322628142 529790563 536732398 645256284 805098597 914113069 1059581126 1073464796 1589371689 1610197194 1828226138 2119162252 2742339207 3178743378 3220394388 3656452276 4562225383 5484678414 6357486756 9006439571 9124450766 10969356828 13686676149 18012879142 18248901532 27019318713 27373352298 36025758284 54038637426 54746704596 108077274852 153109472707 162645702841 306218945414 325291405682 459328418121 487937108523 612437890828 650582811364 918656836242 975874217046 1837313672484 1951748434092 2764976948297 5529953896594 8294930844891 11059907793188 16589861689782 33179723379564 47004608121049 94009216242098 141013824363147 188018432484196 282027648726294 564055297452588