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326561221613664 = 25327327157316541
BaseRepresentation
bin100101001000000010111010…
…1100111001001100001100000
31120211020221121000102120022100
41022100011311213021201200
5320300334340213114124
63114312053144210400
7125533161333155232
oct11220056547114140
91524227530376270
10326561221613664
1195063922192934
1230761904469a00
131102a78b7447bb
145a8d90c8b4252
1527b4917dbd1c9
hex12901759c9860

326561221613664 has 144 divisors (see below), whose sum is σ = 944853565690944. Its totient is φ = 106966419609600.

The previous prime is 326561221613663. The next prime is 326561221613689. The reversal of 326561221613664 is 466316122165623.

326561221613664 is a `hidden beast` number, since 3 + 2 + 6 + 5 + 6 + 12 + 2 + 1 + 613 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 326561221613664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326561221613663) 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 23 ways as a sum of consecutive naturals, for example, 22960767 + ... + 34355774.

It is an arithmetic number, because the mean of its divisors is an integer number (6561483095076).

Almost surely, 2326561221613664 is an apocalyptic number.

It is an amenable number.

326561221613664 is an abundant number, since it is smaller than the sum of its proper divisors (618292344077280).

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

326561221613664 is a wasteful number, since it uses less digits than its factorization.

326561221613664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57316901 (or 57316890 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 326561221613664 in words is "three hundred twenty-six trillion, five hundred sixty-one billion, two hundred twenty-one million, six hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 271 288 292 438 542 584 657 813 876 1084 1168 1314 1626 1752 2168 2336 2439 2628 3252 3504 4336 4878 5256 6504 7008 8672 9756 10512 13008 19512 19783 21024 26016 39024 39566 59349 78048 79132 118698 158264 178047 237396 316528 356094 474792 633056 712188 949584 1424376 1899168 2848752 5697504 57316541 114633082 171949623 229266164 343899246 458532328 515848869 687798492 917064656 1031697738 1375596984 1834129312 2063395476 2751193968 4126790952 4184107493 5502387936 8253581904 8368214986 12552322479 15532782611 16507163808 16736429972 25104644958 31065565222 33472859944 37656967437 46598347833 50209289916 62131130444 66945719888 75313934874 93196695666 100418579832 124262260888 133891439776 139795043499 150627869748 186393391332 200837159664 248524521776 279590086998 301255739496 372786782664 401674319328 497049043552 559180173996 602511478992 745573565328 1118360347992 1133893130603 1205022957984 1491147130656 2236720695984 2267786261206 3401679391809 4473441391968 4535572522412 6803358783618 9071145044824 10205038175427 13606717567236 18142290089648 20410076350854 27213435134472 36284580179296 40820152701708 54426870268944 81640305403416 108853740537888 163280610806832 326561221613664