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56346112664044 = 227172632503179821
BaseRepresentation
bin11001100111111000110100…
…00001111010000111101100
321101111122011110201212222021
430303330122001322013230
524341133314320222134
6315501014035555524
714603605125142510
oct1463743201720754
9241448143655867
1056346112664044
1116a54285727845
1263a030715bba4
1325595531887a8
14dcb248882140
1567aa5972d0b4
hex333f1a07a1ec

56346112664044 has 96 divisors (see below), whose sum is σ = 119823391328256. Its totient is φ = 22632254530560.

The previous prime is 56346112663961. The next prime is 56346112664047. The reversal of 56346112664044 is 44046621164365.

It is a junction number, because it is equal to n+sod(n) for n = 56346112663982 and 56346112664000.

It is not an unprimeable number, because it can be changed into a prime (56346112664047) 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, 313255654 + ... + 313435474.

It is an arithmetic number, because the mean of its divisors is an integer number (1248160326336).

Almost surely, 256346112664044 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 56346112664044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911695664128).

56346112664044 is an abundant number, since it is smaller than the sum of its proper divisors (63477278664212).

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

56346112664044 is a wasteful number, since it uses less digits than its factorization.

56346112664044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182615 (or 182613 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 52.

The spelling of 56346112664044 in words is "fifty-six trillion, three hundred forty-six billion, one hundred twelve million, six hundred sixty-four thousand, forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 263 476 526 1052 1841 2503 3682 4471 5006 7364 8942 10012 17521 17884 31297 35042 42551 62594 70084 85102 125188 170204 179821 297857 359642 595714 658289 719284 1191428 1258747 1316578 2517494 2633156 3056957 4608023 5034988 6113914 9216046 11190913 12227828 18432092 21398699 22381826 42797398 44763652 47292923 78336391 85594796 94585846 156672782 189171692 313345564 331050461 450091963 662100922 803979691 900183926 1324201844 1607959382 1800367852 3150643741 3215918764 5627857837 6301287482 7651563371 11255715674 12602574964 15303126742 22511431348 30606253484 53560943597 107121887194 118374186269 214243774388 236748372538 473496745076 828619303883 1657238607766 2012361166573 3314477215532 4024722333146 8049444666292 14086528166011 28173056332022 56346112664044