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6323443104 = 2531119930091
BaseRepresentation
bin1011110001110100…
…00001010110100000
3121022200200012012110
411320322001112200
5100422300134404
62523245155320
7312462244116
oct57072012640
917280605173
106323443104
112755467440
12128585bb40
1379a0b4214
1443db65ab6
15270227b89
hex178e815a0

6323443104 has 96 divisors (see below), whose sum is σ = 18199641600. Its totient is φ = 1906502400.

The previous prime is 6323443039. The next prime is 6323443117. The reversal of 6323443104 is 4013443236.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195099 + ... + 225189.

It is an arithmetic number, because the mean of its divisors is an integer number (189579600).

Almost surely, 26323443104 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 6323443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099820800).

6323443104 is an abundant number, since it is smaller than the sum of its proper divisors (11876198496).

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

6323443104 is a wasteful number, since it uses less digits than its factorization.

6323443104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30314 (or 30306 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 6323443104 is about 79520.0798792355. The cubic root of 6323443104 is about 1849.2027832656.

The spelling of 6323443104 in words is "six billion, three hundred twenty-three million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 199 264 352 398 528 597 796 1056 1194 1592 2189 2388 3184 4378 4776 6368 6567 8756 9552 13134 17512 19104 26268 30091 35024 52536 60182 70048 90273 105072 120364 180546 210144 240728 331001 361092 481456 662002 722184 962912 993003 1324004 1444368 1986006 2648008 2888736 3972012 5296016 5988109 7944024 10592032 11976218 15888048 17964327 23952436 31776096 35928654 47904872 65869199 71857308 95809744 131738398 143714616 191619488 197607597 263476796 287429232 395215194 526953592 574858464 790430388 1053907184 1580860776 2107814368 3161721552 6323443104