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9145681288986 = 23113718130767399
BaseRepresentation
bin1000010100010110010100…
…0101011001111100011010
31012101022121020212002110010
42011011211011121330122
52144320323402221421
631241245030102350
71632516336203304
oct205054505317432
935338536762403
109145681288986
112a06730729820
1210385b21aa9b6
1351458479b138
14238920a7c974
1510cd7807d076
hex85165159f1a

9145681288986 has 128 divisors (see below), whose sum is σ = 20674170316800. Its totient is φ = 2672842924800.

The previous prime is 9145681288979. The next prime is 9145681288987. The reversal of 9145681288986 is 6898821865419.

It is not an unprimeable number, because it can be changed into a prime (9145681288987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135660915 + ... + 135728313.

It is an arithmetic number, because the mean of its divisors is an integer number (161516955600).

Almost surely, 29145681288986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9145681288986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10337085158400).

9145681288986 is an abundant number, since it is smaller than the sum of its proper divisors (11528489027814).

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

9145681288986 is a wasteful number, since it uses less digits than its factorization.

9145681288986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67940.

The product of its digits is 477757440, while the sum is 75.

The spelling of 9145681288986 in words is "nine trillion, one hundred forty-five billion, six hundred eighty-one million, two hundred eighty-eight thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 181 222 307 362 407 543 614 814 921 1086 1221 1842 1991 2442 3377 3982 5973 6697 6754 10131 11359 11946 13394 20091 20262 22718 34077 40182 55567 67399 68154 73667 111134 124949 134798 147334 166701 202197 221001 249898 333402 374847 404394 442002 611237 741389 749694 1222474 1482778 1833711 2055979 2224167 2493763 3667422 4111958 4448334 4987526 6167937 7481289 12199219 12335874 14962578 20691493 22615769 24398438 27431393 36597657 41382986 45231538 54862786 62074479 67847307 73195314 82294179 124148958 134191409 135694614 164588358 227606423 268382818 402574227 451371103 455212846 682819269 765585241 805148454 902742206 1354113309 1365638538 1531170482 2296755723 2708226618 3745160233 4593511446 4965082133 7490320466 8421437651 9930164266 11235480699 14895246399 16842875302 22470961398 25264312953 29790492798 41196762563 50528625906 82393525126 123590287689 138570928621 247180575378 277141857242 415712785863 831425571726 1524280214831 3048560429662 4572840644493 9145681288986