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132432505212 = 22372953236333
BaseRepresentation
bin111101101010110010…
…1111010100101111100
3110122211110010022110110
41323111211322211330
54132210210131322
6140501052110020
712365541502200
oct1732545724574
9418743108413
10132432505212
1151189773317
12217bb465310
13c646b31827
1465a458ab00
1536a16aac0c
hex1ed597a97c

132432505212 has 72 divisors (see below), whose sum is σ = 359838367056. Its totient is φ = 37797994752.

The previous prime is 132432505187. The next prime is 132432505217. The reversal of 132432505212 is 212505234231.

It is a self number, because there is not a number n which added to its sum of digits gives 132432505212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132432505217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442198 + ... + 678530.

It is an arithmetic number, because the mean of its divisors is an integer number (4997755098).

Almost surely, 2132432505212 is an apocalyptic number.

132432505212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132432505212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179919183528).

132432505212 is an abundant number, since it is smaller than the sum of its proper divisors (227405861844).

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

132432505212 is a wasteful number, since it uses less digits than its factorization.

132432505212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237307 (or 237298 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 132432505212 its reverse (212505234231), we get a palindrome (344937739443).

The spelling of 132432505212 in words is "one hundred thirty-two billion, four hundred thirty-two million, five hundred five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 953 1906 2859 3812 5718 6671 11436 13342 20013 26684 40026 46697 80052 93394 140091 186788 236333 280182 472666 560364 708999 945332 1417998 1654331 2835996 3308662 4962993 6617324 9925986 11580317 19851972 23160634 34740951 46321268 69481902 138963804 225225349 450450698 675676047 900901396 1351352094 1576577443 2702704188 3153154886 4729732329 6306309772 9459464658 11036042101 18918929316 22072084202 33108126303 44144168404 66216252606 132432505212