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24130488272 = 24112371113743
BaseRepresentation
bin10110011110010010…
…100000011111010000
32022021200202210221212
4112132102200133100
5343404401111042
615030240035252
71512655523522
oct263622403720
968250683855
1024130488272
11a263038aa0
124815302b28
132377356137
14124cac5a12
159636b9482
hex59e4a07d0

24130488272 has 160 divisors (see below), whose sum is σ = 54521081856. Its totient is φ = 10238412800.

The previous prime is 24130488223. The next prime is 24130488289. The reversal of 24130488272 is 27288403142.

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, 32476733 + ... + 32477475.

Almost surely, 224130488272 is an apocalyptic number.

24130488272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24130488272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27260540928).

24130488272 is an abundant number, since it is smaller than the sum of its proper divisors (30390593584).

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

24130488272 is a wasteful number, since it uses less digits than its factorization.

24130488272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 24130488272 in words is "twenty-four billion, one hundred thirty million, four hundred eighty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 71 88 92 113 142 176 184 226 253 284 368 452 506 568 743 781 904 1012 1136 1243 1486 1562 1633 1808 2024 2486 2599 2972 3124 3266 4048 4972 5198 5944 6248 6532 8023 8173 9944 10396 11888 12496 13064 16046 16346 17089 17963 19888 20792 26128 28589 32092 32692 34178 35926 41584 52753 57178 64184 65384 68356 71852 83959 88253 105506 114356 128368 130768 136712 143704 167918 176506 184529 187979 211012 228712 273424 287408 335836 353012 369058 375958 422024 457424 580283 671672 706024 738116 751916 844048 923549 1160566 1213319 1343344 1412048 1476232 1503832 1847098 1931057 2029819 2321132 2426638 2952464 3007664 3694196 3862114 4059638 4642264 4853276 5961089 7388392 7724228 8119276 9284528 9706552 11922178 13346509 14776784 15448456 16238552 19413104 21241627 23844356 26693018 30896912 32477104 42483254 47688712 53386036 65571979 84966508 95377424 106772072 131143958 137105047 169933016 213544144 262287916 274210094 339866032 524575832 548420188 1049151664 1096840376 1508155517 2193680752 3016311034 6032622068 12065244136 24130488272