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132410598216 = 233132317102983
BaseRepresentation
bin111101101010001001…
…0010110001101001000
3110122202220220022201020
41323110102112031020
54132134103120331
6140454550352440
712365154341331
oct1732422261510
9418686808636
10132410598216
1151178370266
12217b405b720
13c642431400
1465a16c7288
15369e7cec96
hex1ed4496348

132410598216 has 96 divisors (see below), whose sum is σ = 359583053760. Its totient is φ = 40612805376.

The previous prime is 132410598209. The next prime is 132410598241. The reversal of 132410598216 is 612895014231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1234261 + ... + 1337243.

It is an arithmetic number, because the mean of its divisors is an integer number (3745656810).

Almost surely, 2132410598216 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 132410598216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179791526880).

132410598216 is an abundant number, since it is smaller than the sum of its proper divisors (227172455544).

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

132410598216 is a wasteful number, since it uses less digits than its factorization.

132410598216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103335 (or 103318 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 132410598216 in words is "one hundred thirty-two billion, four hundred ten million, five hundred ninety-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 317 338 507 634 676 951 1014 1268 1352 1902 2028 2536 3804 4056 4121 7608 8242 12363 16484 24726 32968 49452 53573 98904 102983 107146 160719 205966 214292 308949 321438 411932 428584 617898 642876 823864 1235796 1285752 1338779 2471592 2677558 4016337 5355116 8032674 10710232 16065348 17404127 32130696 32645611 34808254 52212381 65291222 69616508 97936833 104424762 130582444 139233016 195873666 208849524 261164888 391747332 417699048 424392943 783494664 848785886 1273178829 1697571772 2546357658 3395143544 5092715316 5517108259 10185430632 11034216518 16551324777 22068433036 33102649554 44136866072 66205299108 132410598216