Search a number
-
+
243101605533216 = 25329611431491459
BaseRepresentation
bin110111010001100110000000…
…110101111001011000100000
31011212202021201212120020002220
4313101212000311321120200
5223330434042004030331
62221011200312311040
7102130340260410663
oct6721460065713040
91155667655506086
10243101605533216
11705068a2750051
12233228779a2480
13a5854c96b8411
14440627538b6da
151d1896d67d296
hexdd1980d79620

243101605533216 has 96 divisors (see below), whose sum is σ = 670968677131200. Its totient is φ = 76956980782080.

The previous prime is 243101605533197. The next prime is 243101605533223. The reversal of 243101605533216 is 612335506101342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2431016055332162 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715575906 + ... + 715915553.

It is an arithmetic number, because the mean of its divisors is an integer number (6989257053450).

Almost surely, 2243101605533216 is an apocalyptic number.

It is an amenable number.

243101605533216 is an abundant number, since it is smaller than the sum of its proper divisors (427867071597984).

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

243101605533216 is a wasteful number, since it uses less digits than its factorization.

243101605533216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431491562 (or 1431491554 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 243101605533216 in words is "two hundred forty-three trillion, one hundred one billion, six hundred five million, five hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 61 87 96 116 122 174 183 232 244 348 366 464 488 696 732 928 976 1392 1464 1769 1952 2784 2928 3538 5307 5856 7076 10614 14152 21228 28304 42456 56608 84912 169824 1431491459 2862982918 4294474377 5725965836 8588948754 11451931672 17177897508 22903863344 34355795016 41513252311 45807726688 68711590032 83026504622 87320978999 124539756933 137423180064 166053009244 174641957998 249079513866 261962936997 332106018488 349283915996 498159027732 523925873994 664212036976 698567831992 996318055464 1047851747988 1328424073952 1397135663984 1992636110928 2095703495976 2532308390971 2794271327968 3985272221856 4191406991952 5064616781942 7596925172913 8382813983904 10129233563884 15193850345826 20258467127768 30387700691652 40516934255536 60775401383304 81033868511072 121550802766608 243101605533216