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132242350352 = 24722310874871
BaseRepresentation
bin111101100101001000…
…0100010000100010000
3110122100012022110000212
41323022100202010100
54131313020202402
6140430140303252
712361042300640
oct1731220420420
9418305273025
10132242350352
11510a13a5142
1221767841b28
13c616613768
14658720c520
15368eb48952
hex1eca422110

132242350352 has 80 divisors (see below), whose sum is σ = 294466486272. Its totient is φ = 56357665920.

The previous prime is 132242350333. The next prime is 132242350381. The reversal of 132242350352 is 253053242231.

It is a super-2 number, since 2×1322423503522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27146477 + ... + 27151347.

Almost surely, 2132242350352 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 132242350352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147233243136).

132242350352 is an abundant number, since it is smaller than the sum of its proper divisors (162224135920).

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

132242350352 is a wasteful number, since it uses less digits than its factorization.

132242350352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6196 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 132242350352 its reverse (253053242231), we get a palindrome (385295592583).

The spelling of 132242350352 in words is "one hundred thirty-two billion, two hundred forty-two million, three hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 223 446 892 1087 1561 1784 2174 3122 3568 4348 4871 6244 7609 8696 9742 12488 15218 17392 19484 24976 30436 34097 38968 60872 68194 77936 121744 136388 242401 272776 484802 545552 969604 1086233 1696807 1939208 2172466 3393614 3878416 4344932 5294777 6787228 7603631 8689864 10589554 13574456 15207262 17379728 21179108 27148912 30414524 37063439 42358216 60829048 74126878 84716432 121658096 148253756 296507512 593015024 1180735271 2361470542 4722941084 8265146897 9445882168 16530293794 18891764336 33060587588 66121175176 132242350352