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21303064464 = 2431123979239
BaseRepresentation
bin10011110101110000…
…101111011110010000
32000222122110210122120
4103311300233132100
5322112041030324
613441514334240
71352624026443
oct236560573620
960878423576
1021303064464
11904202a700
12416642a380
1320166466b6
1410613a365a
1584a364179
hex4f5c2f790

21303064464 has 120 divisors (see below), whose sum is σ = 60649659840. Its totient is φ = 6438516480.

The previous prime is 21303064403. The next prime is 21303064469. The reversal of 21303064464 is 46446030312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (21303064469) 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, 2301157 + ... + 2310395.

It is an arithmetic number, because the mean of its divisors is an integer number (505413832).

Almost surely, 221303064464 is an apocalyptic number.

21303064464 is a gapful number since it is divisible by the number (24) 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 21303064464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30324829920).

21303064464 is an abundant number, since it is smaller than the sum of its proper divisors (39346595376).

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

21303064464 is a wasteful number, since it uses less digits than its factorization.

21303064464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9669 (or 9652 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 21303064464 its reverse (46446030312), we get a palindrome (67749094776).

The spelling of 21303064464 in words is "twenty-one billion, three hundred three million, sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 397 484 528 726 794 968 1191 1452 1588 1936 2382 2904 3176 4367 4764 5808 6352 8734 9239 9528 13101 17468 18478 19056 26202 27717 34936 36956 48037 52404 55434 69872 73912 96074 101629 104808 110868 144111 147824 192148 203258 209616 221736 288222 304887 384296 406516 443472 576444 609774 768592 813032 1117919 1152888 1219548 1626064 2235838 2305776 2439096 3353757 3667883 4471676 4878192 6707514 7335766 8943352 11003649 13415028 14671532 17886704 22007298 26830056 29343064 40346713 44014596 53660112 58686128 80693426 88029192 121040139 161386852 176058384 242080278 322773704 443813843 484160556 645547408 887627686 968321112 1331441529 1775255372 1936642224 2662883058 3550510744 5325766116 7101021488 10651532232 21303064464