Search a number
-
+
93243077208 = 23334354718353
BaseRepresentation
bin101011011010110111…
…0000111001001011000
322220200021022002201000
41112311232013021120
53011430211432313
6110500230425000
76510436036101
oct1266556071130
9286607262630
1093243077208
11365a9316a96
12160a2b02160
138a3c994188
1447278db3a8
15265ae38673
hex15b5b87258

93243077208 has 128 divisors (see below), whose sum is σ = 265530988800. Its totient is φ = 30301060608.

The previous prime is 93243077203. The next prime is 93243077219. The reversal of 93243077208 is 80277034239.

93243077208 is a `hidden beast` number, since 9 + 3 + 2 + 430 + 7 + 7 + 208 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93243077203) 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 31 ways as a sum of consecutive naturals, for example, 5071360 + ... + 5089712.

It is an arithmetic number, because the mean of its divisors is an integer number (2074460850).

Almost surely, 293243077208 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 93243077208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132765494400).

93243077208 is an abundant number, since it is smaller than the sum of its proper divisors (172287911592).

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

93243077208 is a wasteful number, since it uses less digits than its factorization.

93243077208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18958 (or 18948 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 93243077208 in words is "ninety-three billion, two hundred forty-three million, seventy-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 547 774 1032 1094 1161 1548 1641 2188 2322 3096 3282 4376 4644 4923 6564 9288 9846 13128 14769 18353 19692 23521 29538 36706 39384 47042 55059 59076 70563 73412 94084 110118 118152 141126 146824 165177 188168 211689 220236 282252 330354 423378 440472 495531 564504 635067 660708 789179 846756 991062 1270134 1321416 1578358 1693512 1982124 2367537 2540268 3156716 3964248 4735074 5080536 6313432 7102611 9470148 10039091 14205222 18940296 20078182 21307833 28410444 30117273 40156364 42615666 56820888 60234546 80312728 85231332 90351819 120469092 170462664 180703638 240938184 271055457 361407276 431680913 542110914 722814552 863361826 1084221828 1295042739 1726723652 2168443656 2590085478 3453447304 3885128217 5180170956 7770256434 10360341912 11655384651 15540512868 23310769302 31081025736 46621538604 93243077208