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132656320164216 = 233971371252733203
BaseRepresentation
bin11110001010011001110100…
…110101110011000101111000
3122101200211011001000222021010
4132022121310311303011320
5114341420120430223331
61150045245553513520
736641050164440202
oct3612316465630570
9571624131028233
10132656320164216
11392a5258431572
1212a658252728a0
13590358ba203c4
1424a8858b73772
151050a66a64e46
hex78a674d73178

132656320164216 has 128 divisors (see below), whose sum is σ = 337542577505280. Its totient is φ = 43438696144896.

The previous prime is 132656320164211. The next prime is 132656320164241. The reversal of 132656320164216 is 612461023656231.

It is a super-3 number, since 3×1326563201642163 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132656320164211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3995294671 + ... + 3995327873.

It is an arithmetic number, because the mean of its divisors is an integer number (2637051386760).

Almost surely, 2132656320164216 is an apocalyptic number.

It is an amenable number.

132656320164216 is an abundant number, since it is smaller than the sum of its proper divisors (204886257341064).

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

132656320164216 is a wasteful number, since it uses less digits than its factorization.

132656320164216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45973 (or 45969 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 132656320164216 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, three hundred twenty million, one hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 97 137 194 274 291 388 411 548 582 776 822 1096 1164 1644 2328 3288 12527 13289 25054 26578 33203 37581 39867 50108 53156 66406 75162 79734 99609 100216 106312 132812 150324 159468 199218 265624 300648 318936 398436 796872 1215119 1716199 2430238 3220691 3432398 3645357 4548811 4860476 5148597 6441382 6864796 7290714 9097622 9662073 9720952 10297194 12882764 13646433 13729592 14581428 18195244 19324146 20594388 25765528 27292866 29162856 36390488 38648292 41188776 54585732 77296584 109171464 166471303 332942606 415933981 441234667 499413909 665885212 831867962 882469334 998827818 1247801943 1323704001 1331770424 1663735924 1764938668 1997655636 2495603886 2647408002 3327471848 3529877336 3995311272 4991207772 5294816004 9982415544 10589632008 40345596157 56982955397 80691192314 113965910794 121036788471 161382384628 170948866191 227931821588 242073576942 322764769256 341897732382 455863643176 484147153884 683795464764 968294307768 1367590929528 5527346673509 11054693347018 16582040020527 22109386694036 33164080041054 44218773388072 66328160082108 132656320164216