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17468089344 = 21034210601
BaseRepresentation
bin10000010001001011…
…011110010000000000
31200002101021212210000
4100101023132100000
5241233312324334
612005201440000
71155606211116
oct202113362000
950071255700
1017468089344
117454310082
123476040000
131854c84954
14bb9d29ab6
156c383a299
hex4112de400

17468089344 has 110 divisors (see below), whose sum is σ = 52163377574. Its totient is φ = 5822668800.

The previous prime is 17468089307. The next prime is 17468089417. The reversal of 17468089344 is 44398086471.

It can be written as a sum of positive squares in only one way, i.e., 8760960000 + 8707129344 = 93600^2 + 93312^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22357 + ... + 188244.

Almost surely, 217468089344 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 17468089344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26081688787).

17468089344 is an abundant number, since it is smaller than the sum of its proper divisors (34695288230).

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

17468089344 is an equidigital number, since it uses as much as digits as its factorization.

17468089344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210633 (or 210606 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 17468089344 in words is "seventeen billion, four hundred sixty-eight million, eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 82944 210601 421202 631803 842404 1263606 1684808 1895409 2527212 3369616 3790818 5054424 5686227 6739232 7581636 10108848 11372454 13478464 15163272 17058681 20217696 22744908 26956928 30326544 34117362 40435392 45489816 53913856 60653088 68234724 80870784 90979632 107827712 121306176 136469448 161741568 181959264 215655424 242612352 272938896 323483136 363918528 485224704 545877792 646966272 727837056 970449408 1091755584 1455674112 1940898816 2183511168 2911348224 4367022336 5822696448 8734044672 17468089344