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132350515104 = 2534179425641
BaseRepresentation
bin111101101000010110…
…1001001011110100000
3110122121201211210011210
41323100231021132200
54132023212440404
6140445002510120
712363524550033
oct1732055113640
9418551753153
10132350515104
11511474629a5
1221797b05340
13c632b55682
14659772701a
1536993b2689
hex1ed0b497a0

132350515104 has 96 divisors (see below), whose sum is σ = 360399594240. Its totient is φ = 42495897600.

The previous prime is 132350515103. The next prime is 132350515111. The reversal of 132350515104 is 401515053231.

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

It is a super-3 number, since 3×1323505151043 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132350515103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98124 + ... + 523764.

It is an arithmetic number, because the mean of its divisors is an integer number (3754162440).

Almost surely, 2132350515104 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 132350515104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180199797120).

132350515104 is an abundant number, since it is smaller than the sum of its proper divisors (228049079136).

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

132350515104 is a wasteful number, since it uses less digits than its factorization.

132350515104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425774 (or 425766 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 132350515104 its reverse (401515053231), we get a palindrome (533865568335).

The spelling of 132350515104 in words is "one hundred thirty-two billion, three hundred fifty million, five hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 79 82 96 123 158 164 237 246 316 328 474 492 632 656 948 984 1264 1312 1896 1968 2528 3239 3792 3936 6478 7584 9717 12956 19434 25912 38868 51824 77736 103648 155472 310944 425641 851282 1276923 1702564 2553846 3405128 5107692 6810256 10215384 13620512 17451281 20430768 33625639 34902562 40861536 52353843 67251278 69805124 100876917 104707686 134502556 139610248 201753834 209415372 269005112 279220496 403507668 418830744 538010224 558440992 807015336 837661488 1076020448 1378651199 1614030672 1675322976 2757302398 3228061344 4135953597 5514604796 8271907194 11029209592 16543814388 22058419184 33087628776 44116838368 66175257552 132350515104