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12181040146793 = 7219107169971971
BaseRepresentation
bin1011000101000001111010…
…0100100010100101101001
31121010111101122001110012102
42301100132210202211221
53044033232234144133
641523520444423145
72365023346612400
oct261203644424551
947114348043172
1012181040146793
113976a4a670731
121448925847ab5
136a48899898bb
143017cb9b6637
15161ccbada7e8
hexb141e922969

12181040146793 has 48 divisors (see below), whose sum is σ = 15064027488000. Its totient is φ = 9793024688160.

The previous prime is 12181040146777. The next prime is 12181040146801. The reversal of 12181040146793 is 39764104018121.

It is not a de Polignac number, because 12181040146793 - 24 = 12181040146777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12181040146993) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 169213298 + ... + 169285268.

It is an arithmetic number, because the mean of its divisors is an integer number (313833906000).

Almost surely, 212181040146793 is an apocalyptic number.

It is an amenable number.

12181040146793 is a deficient number, since it is larger than the sum of its proper divisors (2882987341207).

12181040146793 is a wasteful number, since it uses less digits than its factorization.

12181040146793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73810 (or 73803 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 12181040146793 in words is "twelve trillion, one hundred eighty-one billion, forty million, one hundred forty-six thousand, seven hundred ninety-three".

Divisors: 1 7 19 49 107 133 749 931 1699 2033 5243 11893 14231 32281 71971 83251 99617 181793 225967 503797 1272551 1367449 1581769 3454067 3526579 7700897 8907857 9572143 24178469 53906279 67005001 122278729 146317043 169249283 377343953 855951103 1024219301 2323295851 5991657721 7169535107 13083824003 16263070957 91586768021 113841496699 248592656057 641107376147 1740148592399 12181040146793