Search a number
-
+
55334466443355 = 351117731371972511
BaseRepresentation
bin11001001010011100011110…
…01101110101100001011011
321020220220221002220011010020
430211032033031311201123
524223044441402141410
6313404145234321523
714440532443144341
oct1445161715654133
9236826832804106
1055334466443355
11166a4240816980
126258234a292a3
1324b5030135908
14d942b97cd991
1565e59a829a70
hex32538f37585b

55334466443355 has 128 divisors (see below), whose sum is σ = 104422828548096. Its totient is φ = 24722966937600.

The previous prime is 55334466443353. The next prime is 55334466443381.

55334466443355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55334466443355 - 21 = 55334466443353 is a prime.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (55334466443353) 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, 27066550 + ... + 29039060.

It is an arithmetic number, because the mean of its divisors is an integer number (815803348032).

Almost surely, 255334466443355 is an apocalyptic number.

55334466443355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55334466443355 is a deficient number, since it is larger than the sum of its proper divisors (49088362104741).

55334466443355 is a wasteful number, since it uses less digits than its factorization.

55334466443355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972757.

The product of its digits is 466560000, while the sum is 60.

The spelling of 55334466443355 in words is "fifty-five trillion, three hundred thirty-four billion, four hundred sixty-six million, four hundred forty-three thousand, three hundred fifty-five".

Divisors: 1 3 5 11 15 17 33 51 55 73 85 137 165 187 219 255 365 411 561 685 803 935 1095 1241 1507 2055 2329 2409 2805 3723 4015 4521 6205 6987 7535 10001 11645 12045 13651 18615 22605 25619 30003 34935 40953 50005 68255 76857 110011 128095 150015 170017 204765 330033 384285 510051 550055 850085 1650165 1870187 1972511 2550255 5610561 5917533 9350935 9862555 21697621 28052805 29587665 33532687 65092863 100598061 108488105 143993303 167663435 270234007 325464315 368859557 431979909 502990305 719966515 810702021 1106578671 1351170035 1583926333 1844297785 2159899545 2447886151 2972574077 4053510105 4593978119 4751778999 5532893355 7343658453 7919631665 8917722231 12239430755 13781934357 14862870385 19727082511 22969890595 23758894995 26926747661 36718292265 44588611155 50533759309 59181247533 68909671785 80780242983 98635412555 134633738305 151601277927 216997907621 252668796545 295906237665 335360402687 403901214915 650993722863 758006389635 1006081208061 1084989538105 1676802013435 3254968614315 3688964429557 5030406040305 11066893288671 18444822147785 55334466443355