Search a number
-
+
11248360496538 = 23111931335986143
BaseRepresentation
bin1010001110101111011010…
…0010000001110110011010
31110211022222120202010111020
42203223312202001312122
52433243120241342123
635531231522543310
72240444600443524
oct243536642016632
943738876663436
1011248360496538
11364744828aa20
121318011207b36
1363793c928649
142ac5d032ca14
151478e05be7e3
hexa3af6881d9a

11248360496538 has 128 divisors (see below), whose sum is σ = 26675144294400. Its totient is φ = 3124060228800.

The previous prime is 11248360496509. The next prime is 11248360496539. The reversal of 11248360496538 is 83569406384211.

It is a happy number.

11248360496538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112483604965382 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11248360496539) 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, 130534695 + ... + 130620837.

It is an arithmetic number, because the mean of its divisors is an integer number (208399564800).

Almost surely, 211248360496538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11248360496538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337572147200).

11248360496538 is an abundant number, since it is smaller than the sum of its proper divisors (15426783797862).

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

11248360496538 is a wasteful number, since it uses less digits than its factorization.

11248360496538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89568.

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 11248360496538 in words is "eleven trillion, two hundred forty-eight billion, three hundred sixty million, four hundred ninety-six thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 186 209 341 418 589 627 682 1023 1178 1254 1767 2046 3359 3534 6479 6718 10077 12958 19437 20154 36949 38874 63821 73898 86143 104129 110847 127642 172286 191463 208258 221694 258429 312387 382926 516858 624774 702031 947573 1145419 1404062 1636717 1895146 1978451 2106093 2290838 2670433 2842719 3273434 3436257 3956902 4212186 4910151 5340866 5685438 5935353 6872514 8011299 9820302 11870706 16022598 18003887 21762961 29374763 36007774 43525922 50738227 54011661 58749526 65288883 88124289 101476454 108023322 130577766 152214681 176248578 289354337 304429362 558120497 578708674 868063011 1116240994 1674361491 1736126022 3182897707 3348722982 5497732403 6365795414 8969984447 9548693121 10995464806 16493197209 17939968894 19097386242 26909953341 32986394418 53819906682 60475056433 98669828917 120950112866 170429704493 181425169299 197339657834 296009486751 340859408986 362850338598 511289113479 592018973502 1022578226958 1874726749423 3749453498846 5624180248269 11248360496538