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9242508005312 = 262347577923117
BaseRepresentation
bin1000011001111111000001…
…1010000000111111000000
31012201120112021101220211212
42012133300122000333000
52202412124022132222
631353541034425252
71642514651543021
oct206376032007700
935646467356755
109242508005312
112a437a88a992a
121053315292228
13520745a3451a
1423d4a84aac48
151106438e56e2
hex867f0680fc0

9242508005312 has 112 divisors (see below), whose sum is σ = 19549438940160. Its totient is φ = 4325344607232.

The previous prime is 9242508005303. The next prime is 9242508005329. The reversal of 9242508005312 is 2135008052429.

It is a self number, because there is not a number n which added to its sum of digits gives 9242508005312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399802778 + ... + 399825894.

Almost surely, 29242508005312 is an apocalyptic number.

9242508005312 is a gapful number since it is divisible by the number (92) 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 9242508005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9774719470080).

9242508005312 is an abundant number, since it is smaller than the sum of its proper divisors (10306930934848).

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

9242508005312 is a wasteful number, since it uses less digits than its factorization.

9242508005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28978 (or 28968 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 9242508005312 in words is "nine trillion, two hundred forty-two billion, five hundred eight million, five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 184 188 368 376 736 752 1081 1472 1504 2162 3008 4324 5779 8648 11558 17296 23116 23117 34592 46232 46234 69184 92464 92468 132917 184928 184936 265834 271613 369856 369872 531668 531691 543226 739744 1063336 1063382 1086452 1086499 1479488 2126672 2126764 2172904 2172998 4253344 4253528 4345808 4345996 6247099 8506688 8507056 8691616 8691992 12494198 17014112 17383232 17383984 24988396 24989477 34028224 34767968 49976792 49978954 69535936 99953584 99957908 133593143 199907168 199915816 267186286 399814336 399831632 534372572 799663264 1068745144 1599326528 2137490288 3072642289 4274980576 6145284578 6278877721 8549961152 12290569156 12557755442 24581138312 25115510884 49162276624 50231021768 98324553248 100462043536 144414187583 196649106496 200924087072 288828375166 401848174144 577656750332 1155313500664 2310627001328 4621254002656 9242508005312