Search a number
-
+
72633129323260 = 225112283106055441
BaseRepresentation
bin10000100000111100110111…
…110111110100101011111100
3100112011122210122222200010111
4100200330313313310223330
534010010122101321020
6414251110551115404
721204366440422312
oct2040746767645374
9315148718880114
1072633129323260
112116359aa63400
128190954072b64
13316b3756b461c
1413d16684720b2
1585e54b056d5a
hex420f37df4afc

72633129323260 has 72 divisors (see below), whose sum is σ = 168248898519408. Its totient is φ = 26318717990400.

The previous prime is 72633129323219. The next prime is 72633129323281. The reversal of 72633129323260 is 6232392133627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52342861 + ... + 53712580.

It is an arithmetic number, because the mean of its divisors is an integer number (2336790257214).

Almost surely, 272633129323260 is an apocalyptic number.

It is an amenable number.

72633129323260 is an abundant number, since it is smaller than the sum of its proper divisors (95615769196148).

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

72633129323260 is a wasteful number, since it uses less digits than its factorization.

72633129323260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106055755 (or 106055742 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 49.

The spelling of 72633129323260 in words is "seventy-two trillion, six hundred thirty-three billion, one hundred twenty-nine million, three hundred twenty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 283 484 566 605 1132 1210 1415 2420 2830 3113 5660 6226 12452 15565 31130 34243 62260 68486 136972 171215 342430 684860 106055441 212110882 424221764 530277205 1060554410 1166609851 2121108820 2333219702 4666439404 5833049255 11666098510 12832708361 23332197020 25665416722 30013689803 51330833444 60027379606 64163541805 120054759212 128327083610 150068449015 256654167220 300136898030 330150587833 600273796060 660301175666 1320602351332 1650752939165 3301505878330 3631656466163 6603011756660 7263312932326 14526625864652 18158282330815 36316564661630 72633129323260