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32430607132 = 22711974012707
BaseRepresentation
bin11110001101000000…
…111100101100011100
310002201010220112112111
4132031000330230130
51012404213412012
622522020243404
72225442420010
oct361500745434
9102633815474
1032430607132
1112832261160
126350b40564
13309ab09181
1417d9194540
15c9c1e8ba7
hex78d03cb1c

32430607132 has 96 divisors (see below), whose sum is σ = 71691895296. Its totient is φ = 12469248000.

The previous prime is 32430607109. The next prime is 32430607201. The reversal of 32430607132 is 23170603423.

It is a junction number, because it is equal to n+sod(n) for n = 32430607094 and 32430607103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11978923 + ... + 11981629.

It is an arithmetic number, because the mean of its divisors is an integer number (746790576).

Almost surely, 232430607132 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 32430607132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35845947648).

32430607132 is an abundant number, since it is smaller than the sum of its proper divisors (39261288164).

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

32430607132 is a wasteful number, since it uses less digits than its factorization.

32430607132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The spelling of 32430607132 in words is "thirty-two billion, four hundred thirty million, six hundred seven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 97 154 194 308 388 401 679 802 1067 1358 1604 2134 2707 2716 2807 4268 4411 5414 5614 7469 8822 10828 11228 14938 17644 18949 29777 29876 30877 37898 38897 59554 61754 75796 77794 119108 123508 155588 208439 262579 272279 416878 427867 525158 544558 833756 855734 1050316 1085507 1089116 1711468 1838053 2171014 2888369 2995069 3676106 4342028 5776738 5990138 7352212 7598549 11553476 11940577 11980276 15197098 20218583 23881154 30394196 40437166 47762308 80874332 83584039 105294179 167168078 210588358 334336156 421176716 737059253 1158235969 1474118506 2316471938 2948237012 4632943876 8107651783 16215303566 32430607132