Search a number
-
+
320545563564330 = 23351394979616039
BaseRepresentation
bin100100011100010001101010…
…0011100110101100100101010
31120000221212010110111200202000
41020320203110130311210222
5314003304303233024310
63053424333214551430
7124342436612344326
oct11070432434654452
91500855113450660
10320545563564330
1193154679032245
122bb4ba64808576
13109b2417426c70
1459226b9326986
15270d1d44884c0
hex12388d473592a

320545563564330 has 128 divisors (see below), whose sum is σ = 920638131033600. Its totient is φ = 78895206876672.

The previous prime is 320545563564283. The next prime is 320545563564383. The reversal of 320545563564330 is 33465365545023.

320545563564330 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 4 + 5 + 563 + 5 + 6 + 43 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28526451 + ... + 38142489.

It is an arithmetic number, because the mean of its divisors is an integer number (7192485398700).

Almost surely, 2320545563564330 is an apocalyptic number.

320545563564330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320545563564330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460319065516800).

320545563564330 is an abundant number, since it is smaller than the sum of its proper divisors (600092567469270).

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

320545563564330 is a wasteful number, since it uses less digits than its factorization.

320545563564330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9625565 (or 9625559 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 54.

The spelling of 320545563564330 in words is "three hundred twenty trillion, five hundred forty-five billion, five hundred sixty-three million, five hundred sixty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 9497 18994 28491 47485 56982 85473 94970 123461 142455 170946 246922 256419 284910 370383 427365 512838 617305 740766 854730 1111149 1234610 1282095 1851915 2222298 2564190 3333447 3703830 5555745 6666894 9616039 11111490 16667235 19232078 28848117 33334470 48080195 57696234 86544351 96160390 125008507 144240585 173088702 250017014 259633053 288481170 375025521 432721755 519266106 625042535 750051042 865443510 1125076563 1250085070 1298165265 1875127605 2250153126 2596330530 3375229689 3750255210 5625382815 6750459378 11250765630 16876148445 33752296890 91323522383 182647044766 273970567149 456617611915 547941134298 821911701447 913235223830 1187205790979 1369852835745 1643823402894 2374411581958 2465735104341 2739705671490 3561617372937 4109558507235 4931470208682 5936028954895 7123234745874 8219117014470 10684852118811 11872057909790 12328675521705 17808086864685 21369704237622 24657351043410 32054556356433 35616173729370 53424260594055 64109112712866 106848521188110 160272781782165 320545563564330