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17211042730 = 257241856697
BaseRepresentation
bin10000000001110110…
…111010101110101010
31122102110121120010001
4100001312322232222
5240222011331410
611523500213214
71146335310100
oct200166725652
948373546101
1017211042730
117332204162
123403b3a20a
131813945a6b
14b93b37c70
156aaeb333a
hex401dbabaa

17211042730 has 48 divisors (see below), whose sum is σ = 36916830216. Its totient is φ = 5756997120.

The previous prime is 17211042727. The next prime is 17211042731. The reversal of 17211042730 is 3724011271.

It can be written as a sum of positive squares in 4 ways, for example, as 9091050409 + 8119992321 = 95347^2 + 90111^2 .

It is not an unprimeable number, because it can be changed into a prime (17211042731) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 408259 + ... + 448438.

Almost surely, 217211042730 is an apocalyptic number.

17211042730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17211042730 is an abundant number, since it is smaller than the sum of its proper divisors (19705787486).

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

17211042730 is a wasteful number, since it uses less digits than its factorization.

17211042730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856759 (or 856752 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

It can be divided in two parts, 172110 and 42730, that added together give a triangular number (214840 = T655).

The spelling of 17211042730 in words is "seventeen billion, two hundred eleven million, forty-two thousand, seven hundred thirty".

Divisors: 1 2 5 7 10 14 35 41 49 70 82 98 205 245 287 410 490 574 1435 2009 2870 4018 10045 20090 856697 1713394 4283485 5996879 8566970 11993758 29984395 35124577 41978153 59968790 70249154 83956306 175622885 209890765 245872039 351245770 419781530 491744078 1229360195 1721104273 2458720390 3442208546 8605521365 17211042730