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54242632055634 = 231189491109317207
BaseRepresentation
bin11000101010101010110001…
…10100001011101101010010
321010001112201021212110121220
430111111120310023231102
524102202402301240014
6311210415434225510
714265620663032521
oct1425253064135522
9233045637773556
1054242632055634
1116313197769290
126100703885296
13243609aca78a9
14d575009c04b8
15640e96b896a9
hex315558d0bb52

54242632055634 has 128 divisors (see below), whose sum is σ = 120037743728640. Its totient is φ = 16203592204800.

The previous prime is 54242632055537. The next prime is 54242632055653. The reversal of 54242632055634 is 43655023624245.

It is a super-2 number, since 2×542426320556342 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3152349859 + ... + 3152367065.

It is an arithmetic number, because the mean of its divisors is an integer number (937794872880).

Almost surely, 254242632055634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54242632055634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60018871864320).

54242632055634 is an abundant number, since it is smaller than the sum of its proper divisors (65795111673006).

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

54242632055634 is a wasteful number, since it uses less digits than its factorization.

54242632055634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18896.

The product of its (nonzero) digits is 20736000, while the sum is 51.

Adding to 54242632055634 its reverse (43655023624245), we get a palindrome (97897655679879).

The spelling of 54242632055634 in words is "fifty-four trillion, two hundred forty-two billion, six hundred thirty-two million, fifty-five thousand, six hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 89 178 267 491 534 979 982 1093 1473 1958 2186 2937 2946 3279 5401 5874 6558 10802 12023 16203 17207 24046 32406 34414 36069 43699 51621 72138 87398 97277 103242 131097 189277 194554 262194 291831 378554 480689 536663 567831 583662 961378 1070047 1073326 1135662 1442067 1531423 1609989 2140094 2884134 3062846 3210141 3219978 4594269 5903293 6420282 8448637 9188538 11806586 16845653 16897274 17709879 18807251 25345911 33691306 35419758 37614502 47763007 50536959 50691822 56421753 92935007 95526014 101073918 112843506 143289021 185870014 206879761 278805021 286578042 413759522 525393077 557610042 620639283 751928693 1050786154 1241278566 1503857386 1576179231 1673845339 2255786079 3152358462 3347690678 4511572158 5021536017 8271215623 9234360241 10043072034 16542431246 18412298729 18468720482 24813646869 27703080723 36824597458 49627293738 55236896187 55406161446 101577962651 110473792374 203155925302 304733887953 609467775906 821858061449 1643716122898 2465574184347 4931148368694 9040438675939 18080877351878 27121316027817 54242632055634