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17349789990 = 235131073791097
BaseRepresentation
bin10000001010001000…
…001100100100100110
31122210010200122120110
4100022020030210212
5241013021234430
611545334113450
71152641532051
oct201210144446
948703618513
1017349789990
1173a3560015
1234424ab886
131836604b30
14ba8333a98
156b826d7b0
hex40a20c926

17349789990 has 128 divisors (see below), whose sum is σ = 45422415360. Its totient is φ = 4215794688.

The previous prime is 17349789971. The next prime is 17349789997. The reversal of 17349789990 is 9998794371.

17349789990 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17349789997) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15815122 + ... + 15816218.

It is an arithmetic number, because the mean of its divisors is an integer number (354862620).

Almost surely, 217349789990 is an apocalyptic number.

17349789990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17349789990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22711207680).

17349789990 is an abundant number, since it is smaller than the sum of its proper divisors (28072625370).

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

17349789990 is a wasteful number, since it uses less digits than its factorization.

17349789990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606.

The product of its (nonzero) digits is 30862944, while the sum is 66.

The spelling of 17349789990 in words is "seventeen billion, three hundred forty-nine million, seven hundred eighty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 107 130 195 214 321 379 390 535 642 758 1070 1097 1137 1391 1605 1895 2194 2274 2782 3210 3291 3790 4173 4927 5485 5685 6582 6955 8346 9854 10970 11370 13910 14261 14781 16455 20865 24635 28522 29562 32910 40553 41730 42783 49270 71305 73905 81106 85566 117379 121659 142610 147810 202765 213915 234758 243318 352137 405530 415763 427830 527189 586895 608295 704274 831526 1054378 1173790 1216590 1247289 1525927 1581567 1760685 2078815 2494578 2635945 3051854 3163134 3521370 4157630 4577781 5271890 5404919 6236445 7629635 7907835 9155562 10809838 12472890 15259270 15815670 16214757 22888905 27024595 32429514 44486641 45777810 54049190 81073785 88973282 133459923 162147570 222433205 266919846 444866410 578326333 667299615 1156652666 1334599230 1734978999 2891631665 3469957998 5783263330 8674894995 17349789990