Search a number
-
+
133060221522352 = 24171948175345017
BaseRepresentation
bin11110010000010001111111…
…001111001101000110110000
3122110010102200121200212111201
4132100101333033031012300
5114420024313202203402
61150555004421420544
740012166221360165
oct3620217717150660
9573112617625451
10133060221522352
11394405831a3a93
1212b0bb66b6a754
1359326a96c3887
1424c021313006c
15105b305beb687
hex79047f3cd1b0

133060221522352 has 80 divisors (see below), whose sum is σ = 287395631439840. Its totient is φ = 59308639617024.

The previous prime is 133060221522337. The next prime is 133060221522379. The reversal of 133060221522352 is 253225122060331.

It is a super-2 number, since 2×1330602215223522 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22221748 + ... + 27566764.

It is an arithmetic number, because the mean of its divisors is an integer number (3592445392998).

Almost surely, 2133060221522352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133060221522352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143697815719920).

133060221522352 is an abundant number, since it is smaller than the sum of its proper divisors (154335409917488).

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

133060221522352 is a wasteful number, since it uses less digits than its factorization.

133060221522352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349878 (or 5349872 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 133060221522352 its reverse (253225122060331), we get a palindrome (386285343582683).

The spelling of 133060221522352 in words is "one hundred thirty-three trillion, sixty billion, two hundred twenty-one million, five hundred twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1292 2584 4817 5168 9634 19268 38536 77072 81889 91523 163778 183046 327556 366092 655112 732184 1310224 1464368 1555891 3111782 5345017 6223564 10690034 12447128 21380068 24894256 42760136 85520272 90865289 101555323 181730578 203110646 363461156 406221292 726922312 812442584 1453844624 1624885168 1726440491 3452880982 6905761964 13811523928 25746946889 27623047856 51493893778 102987787556 205975575112 411951150224 437698097113 489191990891 875396194226 978383981782 1750792388452 1956767963564 3501584776904 3913535927128 7003169553808 7827071854256 8316263845147 16632527690294 33265055380588 66530110761176 133060221522352