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55345544223456 = 2535982111901899
BaseRepresentation
bin11001001010110001000111…
…00000001101101011100000
321020221222112010200200121010
430211120203200031223200
524223240133310122311
6313413220401500520
714441404115546334
oct1445304340155340
9236858463620533
1055345544223456
11166a8a0594a043
12625a406941740
1324b60a71c4096
14d94a4ab497c4
1565e9e812eda6
hex32562380dae0

55345544223456 has 96 divisors (see below), whose sum is σ = 147924430416000. Its totient is φ = 18113736604160.

The previous prime is 55345544223451. The next prime is 55345544223503. The reversal of 55345544223456 is 65432244554355.

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

It is a junction number, because it is equal to n+sod(n) for n = 55345544223396 and 55345544223405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55345544223451) 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 15 ways as a sum of consecutive naturals, for example, 1300806 + ... + 10601093.

It is an arithmetic number, because the mean of its divisors is an integer number (1540879483500).

Almost surely, 255345544223456 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 55345544223456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73962215208000).

55345544223456 is an abundant number, since it is smaller than the sum of its proper divisors (92578886192544).

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

55345544223456 is a wasteful number, since it uses less digits than its factorization.

55345544223456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11902792 (or 11902784 counting only the distinct ones).

The product of its digits is 172800000, while the sum is 57.

The spelling of 55345544223456 in words is "fifty-five trillion, three hundred forty-five billion, five hundred forty-four million, two hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 821 944 1416 1642 1888 2463 2832 3284 4926 5664 6568 9852 13136 19704 26272 39408 48439 78816 96878 145317 193756 290634 387512 581268 775024 1162536 1550048 2325072 4650144 11901899 23803798 35705697 47607596 71411394 95215192 142822788 190430384 285645576 380860768 571291152 702212041 1142582304 1404424082 2106636123 2808848164 4213272246 5617696328 8426544492 9771459079 11235392656 16853088984 19542918158 22470785312 29314377237 33706177968 39085836316 58628754474 67412355936 78171672632 117257508948 156343345264 234515017896 312686690528 469030035792 576516085661 938060071584 1153032171322 1729548256983 2306064342644 3459096513966 4612128685288 6918193027932 9224257370576 13836386055864 18448514741152 27672772111728 55345544223456