Search a number
-
+
216723650832 = 243213225151431
BaseRepresentation
bin1100100111010110111…
…1000111100100010000
3202201101211210011121200
43021311233013210100
512022322223311312
6243321135551200
721441420431343
oct3116557074420
9681354704550
10216723650832
1183a0393a637
123600438b500
131758aca5860
14a6bd1c645a
1559867600dc
hex3275bc7910

216723650832 has 120 divisors (see below), whose sum is σ = 653483882688. Its totient is φ = 66653280000.

The previous prime is 216723650813. The next prime is 216723650861. The reversal of 216723650832 is 238056327612.

216723650832 is a `hidden beast` number, since 2 + 16 + 72 + 36 + 508 + 32 = 666.

216723650832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 4188157 + ... + 4239587.

Almost surely, 2216723650832 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 216723650832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326741941344).

216723650832 is an abundant number, since it is smaller than the sum of its proper divisors (436760231856).

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

216723650832 is a wasteful number, since it uses less digits than its factorization.

216723650832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53709 (or 53700 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 216723650832 in words is "two hundred sixteen billion, seven hundred twenty-three million, six hundred fifty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2251 4502 6753 9004 13506 18008 20259 27012 29263 36016 40518 51431 54024 58526 81036 87789 102862 108048 117052 154293 162072 175578 205724 234104 263367 308586 324144 351156 411448 462879 468208 526734 617172 668603 702312 822896 925758 1053468 1234344 1337206 1404624 1851516 2005809 2106936 2468688 2674412 3703032 4011618 4213872 5348824 6017427 7406064 8023236 10697648 12034854 16046472 24069708 32092944 48139416 96278832 115771181 231542362 347313543 463084724 694627086 926169448 1041940629 1389254172 1505025353 1852338896 2083881258 2778508344 3010050706 4167762516 4515076059 5557016688 6020101412 8335525032 9030152118 12040202824 13545228177 16671050064 18060304236 24080405648 27090456354 36120608472 54180912708 72241216944 108361825416 216723650832