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132424118550 = 232521941377761
BaseRepresentation
bin111101101010100010…
…1111011000100010110
3110122210212100020010100
41323111011323010112
54132201033243200
6140500152234530
712365410302243
oct1732505730426
9418725306110
10132424118550
1151184a65299
12217b869ba46
13c6451863c9
1465a34065ca
1536a0aa0d00
hex1ed517b116

132424118550 has 144 divisors (see below), whose sum is σ = 383639976720. Its totient is φ = 32638464000.

The previous prime is 132424118513. The next prime is 132424118573. The reversal of 132424118550 is 55811424231.

132424118550 is a `hidden beast` number, since 1 + 3 + 2 + 424 + 1 + 185 + 50 = 666.

It is a super-2 number, since 2×1324241185502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161670 + ... + 539430.

It is an arithmetic number, because the mean of its divisors is an integer number (2664166505).

Almost surely, 2132424118550 is an apocalyptic number.

132424118550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132424118550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191819988360).

132424118550 is an abundant number, since it is smaller than the sum of its proper divisors (251215858170).

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

132424118550 is a wasteful number, since it uses less digits than its factorization.

132424118550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377839 (or 377831 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 132424118550 in words is "one hundred thirty-two billion, four hundred twenty-four million, one hundred eighteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 41 45 50 57 75 82 90 95 114 123 150 171 190 205 225 246 285 342 369 410 450 475 570 615 738 779 855 950 1025 1230 1425 1558 1710 1845 2050 2337 2850 3075 3690 3895 4275 4674 6150 7011 7790 8550 9225 11685 14022 18450 19475 23370 35055 38950 58425 70110 116850 175275 350550 377761 755522 1133283 1888805 2266566 3399849 3777610 5666415 6799698 7177459 9444025 11332830 14354918 15488201 16999245 18888050 21532377 28332075 30976402 33998490 35887295 43064754 46464603 56664150 64597131 71774590 77441005 84996225 92929206 107661885 129194262 139393809 154882010 169992450 179436475 215323770 232323015 278787618 294275819 322985655 358872950 387205025 464646030 538309425 588551638 645971310 696969045 774410050 882827457 1076618850 1161615075 1393938090 1471379095 1614928275 1765654914 2323230150 2648482371 2942758190 3229856550 3484845225 4414137285 5296964742 6969690450 7356895475 8828274570 13242411855 14713790950 22070686425 26484823710 44141372850 66212059275 132424118550