Search a number
-
+
150333491322 = 23373119167169
BaseRepresentation
bin1000110000000010010…
…0110000100001111010
3112101000222222121222000
42030000210300201322
54430340333210242
6153021240241430
713601255410110
oct2140044604172
9471028877860
10150333491322
1158835378113
1225176470276
131123a6a53c1
1473c1ba1ab0
153d9d006a4c
hex230093087a

150333491322 has 128 divisors (see below), whose sum is σ = 396184780800. Its totient is φ = 41348620800.

The previous prime is 150333491317. The next prime is 150333491369. The reversal of 150333491322 is 223194333051.

150333491322 is a `hidden beast` number, since 1 + 503 + 3 + 34 + 91 + 32 + 2 = 666.

It is a super-2 number, since 2×1503334913222 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2204554 + ... + 2271722.

It is an arithmetic number, because the mean of its divisors is an integer number (3095193600).

Almost surely, 2150333491322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150333491322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198092390400).

150333491322 is an abundant number, since it is smaller than the sum of its proper divisors (245851289478).

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

150333491322 is a wasteful number, since it uses less digits than its factorization.

150333491322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67409 (or 67403 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 150333491322 in words is "one hundred fifty billion, three hundred thirty-three million, four hundred ninety-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 191 217 279 378 382 434 558 573 651 837 1146 1302 1337 1674 1719 1953 2674 3438 3906 4011 5157 5859 5921 8022 10314 11718 11842 12033 17763 24066 35526 36099 41447 53289 67169 72198 82894 106578 124341 134338 159867 201507 248682 319734 373023 403014 470183 604521 746046 940366 1119069 1209042 1410549 1813563 2082239 2238138 2821098 3627126 4164478 4231647 6246717 8463294 12493434 12694941 12829279 14575673 18740151 25389882 25658558 29151346 37480302 38487837 43727019 56220453 76975674 87454038 89804953 112440906 115463511 131181057 179609906 230927022 262362114 269414859 346390533 393543171 397707649 538829718 692781066 787086342 795415298 808244577 1193122947 1616489154 2386245894 2424733731 2783953543 3579368841 4849467462 5567907086 7158737682 8351860629 10738106523 16703721258 21476213046 25055581887 50111163774 75166745661 150333491322