Search a number
-
+
641037483216 = 243313176714403
BaseRepresentation
bin10010101010000001100…
…11111011110011010000
32021021122000010012102000
421111000303323303100
541000321043430331
61210253305554000
764212335463144
oct11250063736320
92237560105360
10641037483216
11227953a47089
12a42a21a5900
13485ac942060
1423052559224
1511a1c98c0e6
hex9540cfbcd0

641037483216 has 160 divisors (see below), whose sum is σ = 2098116961920. Its totient is φ = 185639786496.

The previous prime is 641037483197. The next prime is 641037483253. The reversal of 641037483216 is 612384730146.

641037483216 is a `hidden beast` number, since 64 + 1 + 0 + 374 + 8 + 3 + 216 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3261730 + ... + 3452673.

It is an arithmetic number, because the mean of its divisors is an integer number (13113231012).

Almost surely, 2641037483216 is an apocalyptic number.

It is an amenable number.

641037483216 is an abundant number, since it is smaller than the sum of its proper divisors (1457079478704).

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

641037483216 is a wasteful number, since it uses less digits than its factorization.

641037483216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714450 (or 6714438 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 641037483216 in words is "six hundred forty-one billion, thirty-seven million, four hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 34 36 39 48 51 52 54 68 72 78 102 104 108 117 136 144 153 156 204 208 216 221 234 272 306 312 351 408 432 442 459 468 612 624 663 702 816 884 918 936 1224 1326 1404 1768 1836 1872 1989 2448 2652 2808 3536 3672 3978 5304 5616 5967 7344 7956 10608 11934 15912 23868 31824 47736 95472 6714403 13428806 20143209 26857612 40286418 53715224 60429627 80572836 87287239 107430448 114144851 120859254 161145672 174574478 181288881 228289702 241718508 261861717 322291344 342434553 349148956 362577762 456579404 483437016 523723434 684869106 698297912 725155524 785585151 913158808 966874032 1027303659 1047446868 1369738212 1396595824 1450311048 1483883063 1571170302 1826317616 2054607318 2094893736 2356755453 2739476424 2900622096 2967766126 3081910977 3142340604 4109214636 4189787472 4451649189 4713510906 5478952848 5935532252 6163821954 6284681208 8218429272 8903298378 9427021812 11871064504 12327643908 12569362416 13354947567 16436858544 17806596756 18854043624 23742129008 24655287816 26709895134 35613193512 37708087248 40064842701 49310575632 53419790268 71226387024 80129685402 106839580536 160259370804 213679161072 320518741608 641037483216