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113506284528 = 24337132887319
BaseRepresentation
bin110100110110110000…
…0000111001111110000
3101211222110002200112000
41221231200013033300
53324430102101103
6124051041334000
711125535333220
oct1515540071760
9354873080460
10113506284528
114415737a61a
1219bb9037300
13a91ba56b90
1456cab3a080
152e44d46aa3
hex1a6d8073f0

113506284528 has 160 divisors (see below), whose sum is σ = 400991001600. Its totient is φ = 29935713024.

The previous prime is 113506284517. The next prime is 113506284533. The reversal of 113506284528 is 825482605311.

113506284528 is a `hidden beast` number, since 1 + 13 + 5 + 0 + 628 + 4 + 5 + 2 + 8 = 666.

It is a congruent number.

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, 1404348 + ... + 1482971.

It is an arithmetic number, because the mean of its divisors is an integer number (2506193760).

Almost surely, 2113506284528 is an apocalyptic number.

113506284528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113506284528 is an abundant number, since it is smaller than the sum of its proper divisors (287484717072).

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

113506284528 is a wasteful number, since it uses less digits than its factorization.

113506284528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887356 (or 2887344 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

Adding to 113506284528 its reverse (825482605311), we get a palindrome (938988889839).

The spelling of 113506284528 in words is "one hundred thirteen billion, five hundred six million, two hundred eighty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 39312 2887319 5774638 8661957 11549276 17323914 20211233 23098552 25985871 34647828 37535147 40422466 46197104 51971742 60633699 69295656 75070294 77957613 80844932 103943484 112605441 121267398 138591312 150140588 155915226 161689864 181901097 207886968 225210882 242534796 262746029 300281176 311830452 323379728 337816323 363802194 415773936 450421764 485069592 525492058 545703291 600562352 623660904 675632646 727604388 788238087 900843528 970139184 1013448969 1050984116 1091406582 1247321808 1351265292 1455208776 1576476174 1801687056 2026897938 2101968232 2182813164 2364714261 2702530584 2910417552 3152952348 4053795876 4203936464 4365626328 4729428522 5405061168 6305904696 7094142783 8107591752 8731252656 9458857044 12611809392 14188285566 16215183504 18917714088 28376571132 37835428176 56753142264 113506284528