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132352603104 = 25347106127647
BaseRepresentation
bin111101101000011010…
…1000111001111100000
3110122121212202212101010
41323100311013033200
54132024231244404
6140445115340520
712363551364351
oct1732065071740
9418555685333
10132352603104
1151148659717
1221798751740
13c633406b87
146597b0bd28
153699676189
hex1ed0d473e0

132352603104 has 96 divisors (see below), whose sum is σ = 355164880896. Its totient is φ = 43136606720.

The previous prime is 132352603099. The next prime is 132352603181. The reversal of 132352603104 is 401306253231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4773409 + ... + 4801055.

It is an arithmetic number, because the mean of its divisors is an integer number (3699634176).

Almost surely, 2132352603104 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 132352603104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177582440448).

132352603104 is an abundant number, since it is smaller than the sum of its proper divisors (222812277792).

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

132352603104 is a wasteful number, since it uses less digits than its factorization.

132352603104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28768 (or 28760 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 132352603104 its reverse (401306253231), we get a palindrome (533658856335).

The spelling of 132352603104 in words is "one hundred thirty-two billion, three hundred fifty-two million, six hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1061 1128 1504 2122 2256 3183 4244 4512 6366 8488 12732 16976 25464 27647 33952 49867 50928 55294 82941 99734 101856 110588 149601 165882 199468 221176 299202 331764 398936 442352 598404 663528 797872 884704 1196808 1299409 1327056 1595744 2393616 2598818 2654112 3898227 4787232 5197636 7796454 10395272 15592908 20790544 29333467 31185816 41581088 58666934 62371632 88000401 117333868 124743264 176000802 234667736 352001604 469335472 704003208 938670944 1378672949 1408006416 2757345898 2816012832 4136018847 5514691796 8272037694 11029383592 16544075388 22058767184 33088150776 44117534368 66176301552 132352603104