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10849993242 = 231129311071709
BaseRepresentation
bin10100001101011010…
…11100001000011010
31001000011011202122120
422012231130020122
5134210044240432
64552345002110
7532605264234
oct120655341032
931004152576
1010849993242
1146685a1570
122129783336
13103bb2565a
1474cdc3254
1543780cc2c
hex286b5c21a

10849993242 has 128 divisors (see below), whose sum is σ = 25530163200. Its totient is φ = 3041606400.

The previous prime is 10849993241. The next prime is 10849993243. The reversal of 10849993242 is 24239994801.

It is an interprime number because it is at equal distance from previous prime (10849993241) and next prime (10849993243).

It is not an unprimeable number, because it can be changed into a prime (10849993241) 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, 6347884 + ... + 6349592.

It is an arithmetic number, because the mean of its divisors is an integer number (199454400).

Almost surely, 210849993242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10849993242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765081600).

10849993242 is an abundant number, since it is smaller than the sum of its proper divisors (14680169958).

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

10849993242 is a wasteful number, since it uses less digits than its factorization.

10849993242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892.

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 10849993242 in words is "ten billion, eight hundred forty-nine million, nine hundred ninety-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 29 31 33 58 62 66 87 93 107 174 186 214 319 321 341 638 642 682 899 957 1023 1177 1709 1798 1914 2046 2354 2697 3103 3317 3418 3531 5127 5394 6206 6634 7062 9309 9889 9951 10254 18618 18799 19778 19902 29667 34133 36487 37598 49561 52979 56397 59334 68266 72974 96193 99122 102399 105958 109461 112794 148683 158937 182863 192386 204798 218922 288579 297366 317874 365726 545171 548589 577158 582769 1058123 1090342 1097178 1165538 1536391 1635513 1748307 2011493 2116246 3072782 3174369 3271026 3496614 4022986 4609173 5303027 5668753 6034479 6348738 9218346 10606054 11337506 12068958 15909081 16900301 17006259 31818162 33800602 34012518 50700903 58333297 62356283 101401806 116666594 124712566 164393837 174999891 187068849 328787674 349999782 374137698 493181511 986363022 1808332207 3616664414 5424996621 10849993242