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32140382352 = 2431364779609
BaseRepresentation
bin11101111011101101…
…110101000010010000
310001221220210120222120
4131323231311002100
51011310414213402
622433131534240
72215316512431
oct357355650220
9101856716876
1032140382352
11126a3453a71
12628b8ba380
133052951830
1417ac807488
15c819bb3bc
hex77bb75090

32140382352 has 80 divisors (see below), whose sum is σ = 89555518080. Its totient is φ = 9873939456.

The previous prime is 32140382269. The next prime is 32140382383. The reversal of 32140382352 is 25328304123.

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, 363924 + ... + 443532.

It is an arithmetic number, because the mean of its divisors is an integer number (1119443976).

Almost surely, 232140382352 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 32140382352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44777759040).

32140382352 is an abundant number, since it is smaller than the sum of its proper divisors (57415135728).

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

32140382352 is a wasteful number, since it uses less digits than its factorization.

32140382352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80280 (or 80274 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 32140382352 its reverse (25328304123), we get a palindrome (57468686475).

The spelling of 32140382352 in words is "thirty-two billion, one hundred forty million, three hundred eighty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 647 1294 1941 2588 3882 5176 7764 8411 10352 15528 16822 25233 31056 33644 50466 67288 79609 100932 134576 159218 201864 238827 318436 403728 477654 636872 955308 1034917 1273744 1910616 2069834 3104751 3821232 4139668 6209502 8279336 12419004 16558672 24838008 49676016 51507023 103014046 154521069 206028092 309042138 412056184 618084276 669591299 824112368 1236168552 1339182598 2008773897 2472337104 2678365196 4017547794 5356730392 8035095588 10713460784 16070191176 32140382352