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55179066097155 = 357111332531112967
BaseRepresentation
bin11001000101111011000001…
…01000100011111000000011
321020101001210222201121221110
430202331200220203320003
524213023211410102110
6313204525113454403
714423361461042460
oct1442754050437003
9236331728647843
1055179066097155
11166443463297a0
1262320a5711403
1324a3495ac4840
14d8a976b26667
1565a502ab2a20
hex322f60a23e03

55179066097155 has 128 divisors (see below), whose sum is σ = 118543218425856. Its totient is φ = 21166755724800.

The previous prime is 55179066097117. The next prime is 55179066097159.

55179066097155 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55179066097155 - 227 = 55178931879427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55179066097159) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 488396482 + ... + 488509448.

It is an arithmetic number, because the mean of its divisors is an integer number (926118893952).

Almost surely, 255179066097155 is an apocalyptic number.

55179066097155 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55179066097155 is an abundant number, since it is smaller than the sum of its proper divisors (63364152328701).

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

55179066097155 is a wasteful number, since it uses less digits than its factorization.

55179066097155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145537.

The product of its (nonzero) digits is 89302500, while the sum is 66.

The spelling of 55179066097155 in words is "fifty-five trillion, one hundred seventy-nine billion, sixty-six million, ninety-seven thousand, one hundred fifty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 143 165 195 231 273 385 429 455 715 1001 1155 1365 2145 3003 5005 15015 32531 97593 112967 162655 227717 338901 357841 422903 487965 564835 683151 790769 1073523 1138585 1242637 1268709 1468571 1694505 1789205 2114515 2372307 2504887 2960321 3415755 3727911 3953845 4405713 4651933 5367615 6213185 6343545 7342855 7514661 8698459 8880963 10279997 11861535 12524435 13955799 14801605 16154281 18639555 22028565 23259665 26095377 30839991 32563531 37573305 43492295 44404815 48462843 51399985 69778995 80771405 97690593 113079967 130476885 154199955 162817655 242314215 339239901 488452965 565399835 1696199505 3674929477 11024788431 18374647385 25724506339 40424224247 47774083201 55123942155 77173519017 121272672741 128622531695 143322249603 202121121235 238870416005 282969569729 334418582407 385867595085 525514915211 606363363705 716611248015 848908709187 1003255747221 1414847848645 1576544745633 1672092912035 2627574576055 3678604406477 4244543545935 5016278736105 7882723728165 11035813219431 18393022032385 55179066097155