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17130204040 = 2352337349919
BaseRepresentation
bin11111111010000101…
…00010101110001000
31122012211111112021111
433331002202232020
5240040313012130
611511451420104
71144334221555
oct177502425610
948184445244
1017130204040
1172a060a924
1233a0a54634
1317ccc80a11
14b870d3a2c
156a3d4602a
hex3fd0a2b88

17130204040 has 64 divisors (see below), whose sum is σ = 40327372800. Its totient is φ = 6536462592.

The previous prime is 17130204031. The next prime is 17130204073. The reversal of 17130204040 is 4040203171.

17130204040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 318201 + ... + 368119.

It is an arithmetic number, because the mean of its divisors is an integer number (630115200).

Almost surely, 217130204040 is an apocalyptic number.

17130204040 is a gapful number since it is divisible by the number (10) 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 17130204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20163686400).

17130204040 is an abundant number, since it is smaller than the sum of its proper divisors (23197168760).

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

17130204040 is a wasteful number, since it uses less digits than its factorization.

17130204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50326 (or 50322 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The spelling of 17130204040 in words is "seventeen billion, one hundred thirty million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 373 460 746 920 1492 1865 2984 3730 7460 8579 14920 17158 34316 42895 49919 68632 85790 99838 171580 199676 249595 343160 399352 499190 998380 1148137 1996760 2296274 4592548 5740685 9185096 11481370 18619787 22962740 37239574 45925480 74479148 93098935 148958296 186197870 372395740 428255101 744791480 856510202 1713020404 2141275505 3426040808 4282551010 8565102020 17130204040