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990717382764 = 22324119130711447
BaseRepresentation
bin11100110101010110101…
…10111001000001101100
310111201012210112121111200
432122223112321001230
5112212442122222024
62035043531445500
7131401620544014
oct16325326710154
93451183477450
10990717382764
113521851531aa
121400112b6890
13725690c5815
1435d456a4c44
151ab868612c9
hexe6ab5b906c

990717382764 has 144 divisors (see below), whose sum is σ = 2587451682816. Its totient is φ = 319425811200.

The previous prime is 990717382763. The next prime is 990717382829. The reversal of 990717382764 is 467283717099.

It is not an unprimeable number, because it can be changed into a prime (990717382763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86542489 + ... + 86553935.

It is an arithmetic number, because the mean of its divisors is an integer number (17968414464).

Almost surely, 2990717382764 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 990717382764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293725841408).

990717382764 is an abundant number, since it is smaller than the sum of its proper divisors (1596734300052).

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

990717382764 is a wasteful number, since it uses less digits than its factorization.

990717382764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11996 (or 11991 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 990717382764 in words is "nine hundred ninety billion, seven hundred seventeen million, three hundred eighty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 191 246 307 369 382 492 573 614 738 764 921 1146 1228 1476 1719 1842 2292 2763 3438 3684 5526 6876 7831 11052 11447 12587 15662 22894 23493 25174 31324 34341 37761 45788 46986 50348 58637 68682 70479 75522 93972 103023 113283 117274 137364 140958 151044 175911 206046 226566 234548 281916 351822 412092 453132 469327 527733 703644 938654 1055466 1407981 1877308 2110932 2186377 2404117 2815962 3514229 4223943 4372754 4808234 5631924 6559131 7028458 7212351 8447886 8745508 9616468 10542687 13118262 14056916 14424702 16895772 19677393 21085374 21637053 26236524 28849404 31628061 39354786 42170748 43274106 63256122 78709572 86548212 89641457 126512244 144083389 179282914 268924371 288166778 358565828 432250167 537848742 576333556 671217739 806773113 864500334 1075697484 1296750501 1342435478 1613546226 1729000668 2013653217 2593501002 2684870956 3227092452 4027306434 5187002004 6040959651 8054612868 12081919302 24163838604 27519927299 55039854598 82559781897 110079709196 165119563794 247679345691 330239127588 495358691382 990717382764