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323303021603664 = 243193971913466777
BaseRepresentation
bin100100110000010101101100…
…1110000011110101101010000
31120101201110121110021202200220
41021200223121300132231100
5314333444042012304124
63103335205134313040
7125045605160062524
oct11140533160365520
91511643543252626
10323303021603664
1194018050226043
123031635b958780
1310b52462053bbb
1459b9d42119d84
152759cc0a07879
hex1260ad9c1eb50

323303021603664 has 160 divisors (see below), whose sum is σ = 881834458327680. Its totient is φ = 101785070002176.

The previous prime is 323303021603663. The next prime is 323303021603699. The reversal of 323303021603664 is 466306120303323.

It is a super-2 number, since 2×3233030216036642 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323303021603663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692395044 + ... + 692861820.

It is an arithmetic number, because the mean of its divisors is an integer number (5511465364548).

Almost surely, 2323303021603664 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 323303021603664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440917229163840).

323303021603664 is an abundant number, since it is smaller than the sum of its proper divisors (558531436724016).

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

323303021603664 is a wasteful number, since it uses less digits than its factorization.

323303021603664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469117 (or 469111 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 42.

Adding to 323303021603664 its reverse (466306120303323), we get a palindrome (789609141906987).

The spelling of 323303021603664 in words is "three hundred twenty-three trillion, three hundred three billion, twenty-one million, six hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 397 456 794 912 1191 1588 1913 2382 3176 3826 4764 5739 6352 7543 7652 9528 11478 15086 15304 19056 22629 22956 30172 30608 36347 45258 45912 60344 72694 90516 91824 109041 120688 145388 181032 218082 290776 362064 436164 466777 581552 759461 872328 933554 1400331 1518922 1744656 1867108 2278383 2800662 3037844 3734216 4556766 5601324 6075688 7468432 8868763 9113532 11202648 12151376 14429759 17737526 18227064 22405296 26606289 28859518 35475052 36454128 43289277 53212578 57719036 70950104 86578554 106425156 115438072 141900208 173157108 185310469 212850312 230876144 346314216 370620938 425700624 555931407 692628432 741241876 892944401 1111862814 1482483752 1785888802 2223725628 2678833203 2964967504 3520898911 3571777604 4447451256 5357666406 7041797822 7143555208 8894902512 10562696733 10715332812 14083595644 14287110416 16965943619 21125393466 21430665624 28167191288 33931887238 42250786932 42861331248 50897830857 56334382576 67863774476 84501573864 101795661714 135727548952 169003147728 203591323428 271455097904 354498927197 407182646856 708997854394 814365293712 1063496781591 1417995708788 2126993563182 2835991417576 4253987126364 5671982835152 6735479616743 8507974252728 13470959233486 17015948505456 20206438850229 26941918466972 40412877700458 53883836933944 80825755400916 107767673867888 161651510801832 323303021603664