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54252155125245 = 357111013731246823
BaseRepresentation
bin11000101010111100100000…
…11011110011110111111101
321010002110021222012112020210
430111132100123303313331
524102331403203001440
6311215032422503033
714266405656553050
oct1425362033636775
9233073258175223
1054252155125245
1116317234243450
126102520b94a79
132436c57c2961c
14d57b65674a97
15641352c39a80
hex3157906f3dfd

54252155125245 has 128 divisors (see below), whose sum is σ = 109587091857408. Its totient is φ = 22263253632000.

The previous prime is 54252155125199. The next prime is 54252155125277.

54252155125245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54252155125245 - 28 = 54252155124989 is a prime.

It is a super-3 number, since 3×542521551252453 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54252155125194 and 54252155125203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42888904 + ... + 44135726.

It is an arithmetic number, because the mean of its divisors is an integer number (856149155136).

Almost surely, 254252155125245 is an apocalyptic number.

54252155125245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54252155125245 is an abundant number, since it is smaller than the sum of its proper divisors (55334936732163).

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

54252155125245 is a wasteful number, since it uses less digits than its factorization.

54252155125245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247323.

The product of its digits is 4000000, while the sum is 48.

The spelling of 54252155125245 in words is "fifty-four trillion, two hundred fifty-two billion, one hundred fifty-five million, one hundred twenty-five thousand, two hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 101 105 165 231 303 373 385 505 707 1111 1119 1155 1515 1865 2121 2611 3333 3535 4103 5555 5595 7777 7833 10605 12309 13055 16665 20515 23331 28721 37673 38885 39165 61545 86163 113019 116655 143605 188365 263711 414403 430815 565095 791133 1243209 1246823 1318555 2072015 2900821 3740469 3955665 6216045 6234115 8702463 8727761 13715053 14504105 18702345 26183283 41145159 43512315 43638805 68575265 96005371 125929123 130916415 205725795 288016113 377787369 465064979 480026855 629645615 881503861 1385220353 1395194937 1440080565 1888936845 2325324895 2644511583 3255454853 4155661059 4407519305 5115714769 6926101765 6975974685 9696542471 9766364559 13222557915 15347144307 16277274265 20778305295 25578573845 29089627413 35810003383 46971562879 48482712355 48831822795 76735721535 107430010149 140914688637 145448137065 179050016915 234857814395 328800940153 516687191669 537150050745 704573443185 986402820459 1550061575007 1644004700765 2583435958345 3616810341683 4932014102295 7750307875035 10850431025049 18084051708415 54252155125245