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17900016834 = 23744726437
BaseRepresentation
bin10000101010111011…
…001001010011000010
31201012111001001220110
4100222323021103002
5243124401014314
612120111252150
71202402430000
oct205273112302
951174031813
1017900016834
117656102647
12357681a056
1318c35c464b
14c1b441a70
156eb708a59
hex42aec94c2

17900016834 has 80 divisors (see below), whose sum is σ = 42654434688. Its totient is φ = 5005286496.

The previous prime is 17900016821. The next prime is 17900016853. The reversal of 17900016834 is 43861000971.

It is a junction number, because it is equal to n+sod(n) for n = 17900016792 and 17900016801.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 663864 + ... + 690300.

Almost surely, 217900016834 is an apocalyptic number.

17900016834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17900016834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21327217344).

17900016834 is an abundant number, since it is smaller than the sum of its proper divisors (24754417854).

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

17900016834 is an equidigital number, since it uses as much as digits as its factorization.

17900016834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26517 (or 26496 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 17900016834 in words is "seventeen billion, nine hundred million, sixteen thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 98 141 147 282 294 329 343 658 686 987 1029 1974 2058 2303 2401 4606 4802 6909 7203 13818 14406 16121 26437 32242 48363 52874 79311 96726 112847 158622 185059 225694 338541 370118 555177 677082 1110354 1242539 1295413 2485078 2590826 3727617 3886239 7455234 7772478 8697773 9067891 17395546 18135782 26093319 27203673 52186638 54407346 60884411 63475237 121768822 126950474 182653233 190425711 365306466 380851422 426190877 852381754 1278572631 2557145262 2983336139 5966672278 8950008417 17900016834