Search a number
-
+
998336826344 = 2311133679672459
BaseRepresentation
bin11101000011100011000…
…00110000101111101000
310112102212210212110010202
432201301200300233220
5112324043211420334
62042343554531332
7132061501003154
oct16416140605750
93472783773122
10998336826344
11355435125a10
12141598b96b48
13731b1844410
14364695ca064
151ae8073917e
hexe871830be8

998336826344 has 128 divisors (see below), whose sum is σ = 2208303820800. Its totient is φ = 417139511040.

The previous prime is 998336826313. The next prime is 998336826353. The reversal of 998336826344 is 443628633899.

It is a super-2 number, since 2×9983368263442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405991787 + ... + 405994245.

It is an arithmetic number, because the mean of its divisors is an integer number (17252373600).

Almost surely, 2998336826344 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 998336826344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104151910400).

998336826344 is an abundant number, since it is smaller than the sum of its proper divisors (1209966994456).

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

998336826344 is a wasteful number, since it uses less digits than its factorization.

998336826344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823 (or 3819 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 65.

The spelling of 998336826344 in words is "nine hundred ninety-eight billion, three hundred thirty-six million, eight hundred twenty-six thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 367 572 734 967 1144 1468 1934 2459 2936 3868 4037 4771 4918 7736 8074 9542 9836 10637 12571 16148 19084 19672 21274 25142 27049 31967 32296 38168 42548 50284 52481 54098 63934 85096 100568 104962 108196 127868 138281 209924 216392 255736 276562 351637 354889 419848 553124 703274 709778 902453 1106248 1406548 1419556 1804906 2377853 2813096 2839112 3609812 3903779 4613557 4755706 7219624 7807558 9227114 9511412 9926983 11731889 15615116 18454228 19022824 19853966 23463778 26156383 30912089 31230232 36908456 39707932 46927556 50749127 52312766 61824178 79415864 93855112 101498254 104625532 123648356 129050779 202996508 209251064 247296712 258101558 340032979 405993016 516203116 680065958 872672051 1032406232 1360131916 1745344102 2720263832 3490688204 6981376408 9599392561 11344736663 19198785122 22689473326 38397570244 45378946652 76795140488 90757893304 124792103293 249584206586 499168413172 998336826344