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12334576468383 = 3213499574936749
BaseRepresentation
bin1011001101111101111000…
…0011001000000110011111
31121200011200211201201022200
42303133132003020012133
53104042203033442013
642122232020542543
72412100206041211
oct263373603100637
947604624651280
1012334576468383
113a26078944604
121472634851a53
136b61b7a81b30
14308dd4c9c5b1
15165cb5d9de73
hexb37de0c819f

12334576468383 has 48 divisors (see below), whose sum is σ = 19229437500000. Its totient is φ = 7573773383424.

The previous prime is 12334576468381. The next prime is 12334576468387. The reversal of 12334576468383 is 38386467543321.

12334576468383 is a `hidden beast` number, since 1 + 2 + 33 + 45 + 76 + 468 + 38 + 3 = 666.

It is not a de Polignac number, because 12334576468383 - 21 = 12334576468381 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12334576468383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334576468381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335625493 + ... + 335662241.

It is an arithmetic number, because the mean of its divisors is an integer number (400613281250).

Almost surely, 212334576468383 is an apocalyptic number.

12334576468383 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12334576468383 is a deficient number, since it is larger than the sum of its proper divisors (6894861031617).

12334576468383 is a wasteful number, since it uses less digits than its factorization.

12334576468383 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43016 (or 43013 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 12334576468383 in words is "twelve trillion, three hundred thirty-four billion, five hundred seventy-six million, four hundred sixty-eight thousand, three hundred eighty-three".

Divisors: 1 3 9 13 39 117 499 1497 4491 5749 6487 17247 19461 36749 51741 58383 74737 110247 224211 330741 477737 672633 1433211 2868751 4299633 8606253 18337751 25818759 37293763 55013253 111881289 165039759 211270001 238390763 335643867 633810003 715172289 1901430009 2145516867 2746510013 8239530039 24718590117 105423730499 316271191497 948813574491 1370508496487 4111525489461 12334576468383