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55345441341024 = 2532537394906469
BaseRepresentation
bin11001001010110000111010…
…10111101111111001100000
321020221222020222002201102200
430211120131113233321200
524223234430440403044
6313413202244413200
714441401426220502
oct1445303527577140
9236858228081380
1055345441341024
11166a8962869a3a
12625a3983a7200
1324b608bab15c3
14d94a3b207d72
1565e9de0ab369
hex32561d5efe60

55345441341024 has 144 divisors (see below), whose sum is σ = 160575221242800. Its totient is φ = 18075899132928.

The previous prime is 55345441341019. The next prime is 55345441341031. The reversal of 55345441341024 is 42014314454355.

55345441341024 is a `hidden beast` number, since 5 + 5 + 34 + 544 + 13 + 41 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8826862 + ... + 13733330.

It is an arithmetic number, because the mean of its divisors is an integer number (1115105703075).

Almost surely, 255345441341024 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 55345441341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80287610621400).

55345441341024 is an abundant number, since it is smaller than the sum of its proper divisors (105229779901776).

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

55345441341024 is a wasteful number, since it uses less digits than its factorization.

55345441341024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4907277 (or 4907266 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 55345441341024 its reverse (42014314454355), we get a palindrome (97359755795379).

The spelling of 55345441341024 in words is "fifty-five trillion, three hundred forty-five billion, four hundred forty-one million, three hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 739 848 954 1272 1478 1696 1908 2217 2544 2956 3816 4434 5088 5912 6651 7632 8868 11824 13302 15264 17736 23648 26604 35472 39167 53208 70944 78334 106416 117501 156668 212832 235002 313336 352503 470004 626672 705006 940008 1253344 1410012 1880016 2820024 3760032 4906469 5640048 9812938 11280096 14719407 19625876 29438814 39251752 44158221 58877628 78503504 88316442 117755256 157007008 176632884 235510512 260042857 353265768 471021024 520085714 706531536 780128571 1040171428 1413063072 1560257142 2080342856 2340385713 3120514284 3625880591 4160685712 4680771426 6241028568 7251761182 8321371424 9361542852 10877641773 12482057136 14503522364 18723085704 21755283546 24964114272 29007044728 32632925319 37446171408 43510567092 58014089456 65265850638 74892342816 87021134184 116028178912 130531701276 174042268368 192171671323 261063402552 348084536736 384343342646 522126805104 576515013969 768686685292 1044253610208 1153030027938 1537373370584 1729545041907 2306060055876 3074746741168 3459090083814 4612120111752 6149493482336 6918180167628 9224240223504 13836360335256 18448480447008 27672720670512 55345441341024