Search a number
-
+
17130725632 = 28467143291
BaseRepresentation
bin11111111010001001…
…00010000100000000
31122012212111000202201
433331010202010000
5240040431210012
611511510522544
71144341523336
oct177504420400
948185430681
1017130725632
1172a0936799
1233a1066454
131800104257
14b871cbb56
156a3dea857
hex3fd122100

17130725632 has 36 divisors (see below), whose sum is σ = 34267995216. Its totient is φ = 8546961920.

The previous prime is 17130725617. The next prime is 17130725639. The reversal of 17130725632 is 23652703171.

It is a junction number, because it is equal to n+sod(n) for n = 17130725591 and 17130725600.

It is not an unprimeable number, because it can be changed into a prime (17130725639) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 47907 + ... + 191197.

It is an arithmetic number, because the mean of its divisors is an integer number (951888756).

Almost surely, 217130725632 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 17130725632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133997608).

17130725632 is an abundant number, since it is smaller than the sum of its proper divisors (17137269584).

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

17130725632 is an equidigital number, since it uses as much as digits as its factorization.

17130725632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143774 (or 143760 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 17130725632 in words is "seventeen billion, one hundred thirty million, seven hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 467 934 1868 3736 7472 14944 29888 59776 119552 143291 286582 573164 1146328 2292656 4585312 9170624 18341248 36682496 66916897 133833794 267667588 535335176 1070670352 2141340704 4282681408 8565362816 17130725632