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132325247208 = 23371173397687
BaseRepresentation
bin111101100111100110…
…0110000100011101000
3110122112222022001010210
41323033030300203220
54132000230402313
6140442301141120
712363100020510
oct1731714604350
9418488261123
10132325247208
1151134174840
122178b55a7a0
13c62a84955b
14659422a840
1536970709c3
hex1ecf3308e8

132325247208 has 128 divisors (see below), whose sum is σ = 413009233920. Its totient is φ = 34322952960.

The previous prime is 132325247183. The next prime is 132325247239. The reversal of 132325247208 is 802742523231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1305741 + ... + 1403427.

It is an arithmetic number, because the mean of its divisors is an integer number (3226634640).

Almost surely, 2132325247208 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 132325247208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206504616960).

132325247208 is an abundant number, since it is smaller than the sum of its proper divisors (280683986712).

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

132325247208 is a wasteful number, since it uses less digits than its factorization.

132325247208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98447 (or 98443 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 132325247208 in words is "one hundred thirty-two billion, three hundred twenty-five million, two hundred forty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 733 924 1466 1848 2199 2932 4398 5131 5864 8063 8796 10262 15393 16126 17592 20524 24189 30786 32252 41048 48378 56441 61572 64504 96756 97687 112882 123144 169323 193512 195374 225764 293061 338646 390748 451528 586122 677292 683809 781496 1074557 1172244 1354584 1367618 2051427 2149114 2344488 2735236 3223671 4102854 4298228 5470472 6447342 7521899 8205708 8596456 12894684 15043798 16411416 22565697 25789368 30087596 45131394 60175192 71604571 90262788 143209142 180525576 214813713 286418284 429627426 501231997 572836568 787650281 859254852 1002463994 1503695991 1575300562 1718509704 2004927988 2362950843 3007391982 3150601124 4009855976 4725901686 5513551967 6014783964 6301202248 9451803372 11027103934 12029567928 16540655901 18903606744 22054207868 33081311802 44108415736 66162623604 132325247208