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16332746633664 = 263175663484259
BaseRepresentation
bin1110110110101100001110…
…0011111011000111000000
32010211101200012021011220120
43231223003203323013000
54120043431114234124
654423054335140240
73304000454520246
oct355530343730700
963741605234816
1016332746633664
11522775175427a
1219b948b974680
1391622c742816
1440671b19a796
151d4cbb3aad79
hexedac38fb1c0

16332746633664 has 56 divisors (see below), whose sum is σ = 43214060709120. Its totient is φ = 5444206642944.

The previous prime is 16332746633629. The next prime is 16332746633717. The reversal of 16332746633664 is 46633664723361.

It is a happy number.

It is a super-2 number, since 2×163327466336642 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16332746633598 and 16332746633607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33485167 + ... + 33969425.

It is an arithmetic number, because the mean of its divisors is an integer number (771679655520).

Almost surely, 216332746633664 is an apocalyptic number.

It is an amenable number.

16332746633664 is an abundant number, since it is smaller than the sum of its proper divisors (26881314075456).

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

16332746633664 is a wasteful number, since it uses less digits than its factorization.

16332746633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659937 (or 659927 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 60.

The spelling of 16332746633664 in words is "sixteen trillion, three hundred thirty-two billion, seven hundred forty-six million, six hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 175663 351326 484259 526989 702652 968518 1053978 1405304 1452777 1937036 2107956 2810608 2905554 3874072 4215912 5621216 5811108 7748144 8431824 11242432 11622216 15496288 16863648 23244432 30992576 33727296 46488864 92977728 85066388717 170132777434 255199166151 340265554868 510398332302 680531109736 1020796664604 1361062219472 2041593329208 2722124438944 4083186658416 5444248877888 8166373316832 16332746633664