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11330357323068 = 22327711036148193
BaseRepresentation
bin1010010011100000110111…
…1011000110010100111100
31111010011122002020111112100
42210320031323012110330
52441114032433314233
640033032211305100
72246406550122030
oct244701573062474
944104562214470
1011330357323068
1136791a5366363
12132ba958ab190
136425a9666204
142b256c3781c0
15149ade025813
hexa4e0dec653c

11330357323068 has 144 divisors (see below), whose sum is σ = 33515428617216. Its totient is φ = 3160662543360.

The previous prime is 11330357323049. The next prime is 11330357323073. The reversal of 11330357323068 is 86032375303311.

11330357323068 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 357 + 3 + 230 + 68 = 666.

11330357323068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1231221 + ... + 4916972.

It is an arithmetic number, because the mean of its divisors is an integer number (232746032064).

Almost surely, 211330357323068 is an apocalyptic number.

11330357323068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11330357323068 is an abundant number, since it is smaller than the sum of its proper divisors (22185071294148).

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

11330357323068 is a wasteful number, since it uses less digits than its factorization.

11330357323068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148384 (or 6148379 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 11330357323068 in words is "eleven trillion, three hundred thirty billion, three hundred fifty-seven million, three hundred twenty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 103 126 142 206 213 252 284 309 412 426 497 618 639 721 852 927 994 1236 1278 1442 1491 1854 1988 2163 2556 2884 2982 3708 4326 4473 5964 6489 7313 8652 8946 12978 14626 17892 21939 25956 29252 43878 51191 65817 87756 102382 131634 153573 204764 263268 307146 460719 614292 921438 1842876 6148193 12296386 18444579 24592772 36889158 43037351 55333737 73778316 86074702 110667474 129112053 172149404 221334948 258224106 387336159 436521703 516448212 633263879 774672318 873043406 1266527758 1309565109 1549344636 1746086812 1899791637 2533055516 2619130218 3055651921 3799583274 3928695327 4432847153 5238260436 5699374911 6111303842 7599166548 7857390654 8865694306 9166955763 11398749822 12222607684 13298541459 15714781308 17731388612 18333911526 22797499644 26597082918 27500867289 36667823052 39895624377 44961735409 53194165836 55001734578 79791248754 89923470818 110003469156 134885206227 159582497508 179846941636 269770412454 314732147863 404655618681 539540824908 629464295726 809311237362 944196443589 1258928591452 1618622474724 1888392887178 2832589330767 3776785774356 5665178661534 11330357323068