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321533053312 = 2759149328517
BaseRepresentation
bin1001010110111001101…
…11010000100110000000
31010201221012011110210011
410223130313100212000
520231444430201222
6403413225114304
732141613600412
oct4533467204600
91121835143704
10321533053312
111143a8031a29
1252394928994
1324421ccc483
14117c2c929b2
15856cd02c77
hex4adcdd0980

321533053312 has 64 divisors (see below), whose sum is σ = 651870147600. Its totient is φ = 157930276864.

The previous prime is 321533053273. The next prime is 321533053427. The reversal of 321533053312 is 213350335123.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11260878 + ... + 11289394.

Almost surely, 2321533053312 is an apocalyptic number.

321533053312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321533053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325935073800).

321533053312 is an abundant number, since it is smaller than the sum of its proper divisors (330337094288).

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

321533053312 is a wasteful number, since it uses less digits than its factorization.

321533053312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30083 (or 30071 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 31.

Adding to 321533053312 its reverse (213350335123), we get a palindrome (534883388435).

The spelling of 321533053312 in words is "three hundred twenty-one billion, five hundred thirty-three million, fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1493 1888 2986 3776 5972 7552 11944 23888 28517 47776 57034 88087 95552 114068 176174 191104 228136 352348 456272 704696 912544 1409392 1682503 1825088 2818784 3365006 3650176 5637568 6730012 11275136 13460024 26920048 42575881 53840096 85151762 107680192 170303524 215360384 340607048 681214096 1362428192 2511976979 2724856384 5023953958 5449712768 10047907916 20095815832 40191631664 80383263328 160766526656 321533053312