Search a number
-
+
216068309532672 = 21438461519551
BaseRepresentation
bin110001001000001101010010…
…110101100100000000000000
31001100000221001222211122221120
4301020031102311210000000
5211310030344220021142
62043312224443552240
763340264063642632
oct6110152265440000
91040027058748846
10216068309532672
1162934067929753
122029759b82b680
1393742009021bc
143b4da94c34a52
1519ea674e5b7ec
hexc48352d64000

216068309532672 has 120 divisors (see below), whose sum is σ = 576233780677632. Its totient is φ = 72014118912000.

The previous prime is 216068309532659. The next prime is 216068309532721. The reversal of 216068309532672 is 276235903860612.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415615297 + ... + 416134847.

Almost surely, 2216068309532672 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 216068309532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288116890338816).

216068309532672 is an abundant number, since it is smaller than the sum of its proper divisors (360165471144960).

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

216068309532672 is an frugal number, since it uses more digits than its factorization.

216068309532672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528043 (or 528017 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 216068309532672 in words is "two hundred sixteen trillion, sixty-eight billion, three hundred nine million, five hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 8461 12288 16384 16922 24576 25383 33844 49152 50766 67688 101532 135376 203064 270752 406128 519551 541504 812256 1039102 1083008 1558653 1624512 2078204 2166016 3117306 3249024 4156408 4332032 6234612 6498048 8312816 8664064 12469224 12996096 16625632 17328128 24938448 25992192 33251264 34656256 49876896 51984384 66502528 69312512 99753792 103968768 133005056 138625024 199507584 207937536 266010112 399015168 415875072 532020224 798030336 1064040448 1596060672 2128080896 3192121344 4256161792 4395921011 6384242688 8512323584 8791842022 12768485376 13187763033 17583684044 25536970752 26375526066 35167368088 52751052132 70334736176 105502104264 140669472352 211004208528 281338944704 422008417056 562677889408 844016834112 1125355778816 1688033668224 2250711557632 3376067336448 4501423115264 6752134672896 9002846230528 13504269345792 18005692461056 27008538691584 36011384922112 54017077383168 72022769844224 108034154766336 216068309532672