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132052441505313 = 37233714894962527
BaseRepresentation
bin11110000001100111011010…
…110111100001111000100001
3122022120002102200210122000110
4132001213122313201320201
5114302021400011132223
61144504015410241533
736546321413513550
oct3601473267417041
9568502380718013
10132052441505313
11390921426a214a
12129887935862a9
13588b651647974
14248752d723d97
15103eec143ed93
hex7819dade1e21

132052441505313 has 64 divisors (see below), whose sum is σ = 215791361556480. Its totient is φ = 70179804490752.

The previous prime is 132052441505191. The next prime is 132052441505323. The reversal of 132052441505313 is 313505144250231.

It is not a de Polignac number, because 132052441505313 - 228 = 132052173069857 is a prime.

It is a super-2 number, since 2×1320524415053132 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132052441505323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24128656 + ... + 29091182.

It is an arithmetic number, because the mean of its divisors is an integer number (3371740024320).

Almost surely, 2132052441505313 is an apocalyptic number.

It is an amenable number.

132052441505313 is a deficient number, since it is larger than the sum of its proper divisors (83738920051167).

132052441505313 is a wasteful number, since it uses less digits than its factorization.

132052441505313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964086.

The product of its (nonzero) digits is 216000, while the sum is 39.

Adding to 132052441505313 its reverse (313505144250231), we get a palindrome (445557585755544).

The spelling of 132052441505313 in words is "one hundred thirty-two trillion, fifty-two billion, four hundred forty-one million, five hundred five thousand, three hundred thirteen".

Divisors: 1 3 7 21 23 37 69 111 161 259 483 777 851 1489 2553 4467 5957 10423 17871 31269 34247 55093 102741 165279 239729 385651 719187 1156953 1267139 3801417 4962527 8869973 14887581 26609919 34737689 104213067 114138121 183613499 342414363 550840497 798966847 1285294493 2396900541 3855883479 4223110477 7389202703 12669331431 22167608109 29561773339 51724418921 88685320017 155173256763 169951662169 273400500011 509854986507 820201500033 1189661635183 1913803500077 3568984905549 5741410500231 6288211500253 18864634500759 44017480501771 132052441505313