Search a number
-
+
133064650243272 = 233114877511378129
BaseRepresentation
bin11110010000010110000111…
…001101011011110011001000
3122110010212010021010012111110
4132100112013031123303020
5114420112400430241042
61151001020104330320
740012414036026036
oct3620260715336310
9573125107105443
10133064650243272
113944244608a620
1212b109a21739a0
135932c340a15b7
1424c05133a3556
15105b4b490a09c
hex79058735bcc8

133064650243272 has 128 divisors (see below), whose sum is σ = 364133257113600. Its totient is φ = 40186212480000.

The previous prime is 133064650243247. The next prime is 133064650243313. The reversal of 133064650243272 is 272342056460331.

It is a super-2 number, since 2×1330646502432722 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95865504 + ... + 97243632.

It is an arithmetic number, because the mean of its divisors is an integer number (2844791071200).

Almost surely, 2133064650243272 is an apocalyptic number.

133064650243272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133064650243272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182066628556800).

133064650243272 is an abundant number, since it is smaller than the sum of its proper divisors (231068606870328).

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

133064650243272 is a wasteful number, since it uses less digits than its factorization.

133064650243272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379387 (or 1379383 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 133064650243272 in words is "one hundred thirty-three trillion, sixty-four billion, six hundred fifty million, two hundred forty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 487 751 974 1461 1502 1948 2253 2922 3004 3896 4506 5357 5844 6008 8261 9012 10714 11688 16071 16522 18024 21428 24783 32142 33044 42856 49566 64284 66088 99132 128568 198264 365737 731474 1097211 1378129 1462948 2194422 2756258 2925896 4023107 4134387 4388844 5512516 8046214 8268774 8777688 11025032 12069321 15159419 16092428 16537548 24138642 30318838 32184856 33075096 45478257 48277284 60637676 90956514 96554568 121275352 181913028 363826056 671148823 1034974879 1342297646 2013446469 2069949758 2684595292 3104924637 4026892938 4139899516 5369190584 6209849274 7382637053 8053785876 8279799032 11384723669 12419698548 14765274106 16107571752 22147911159 22769447338 24839397096 29530548212 34154171007 44295822318 45538894676 59061096424 68308342014 88591644636 91077789352 136616684028 177183289272 273233368056 504032766073 1008065532146 1512098298219 2016131064292 3024196596438 4032262128584 5544360426803 6048393192876 11088720853606 12096786385752 16633081280409 22177441707212 33266162560818 44354883414424 66532325121636 133064650243272