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12973114516041 = 3212006072
BaseRepresentation
bin1011110011001000100111…
…1000011110001001001001
31200221012212122201102201100
42330302021320132021021
53200022414304003131
643331433323212013
72506163604636261
oct274621170361111
950835778642640
1012973114516041
114151959a32769
121556339977009
13731489931624
1432bc8b4b27a1
151776d91c27e6
hexbcc89e1e249

12973114516041 has 9 divisors (see below), whose sum is σ = 18738958797741. Its totient is φ = 8648735807052.

The previous prime is 12973114516027. The next prime is 12973114516081. The reversal of 12973114516041 is 14061541137921.

The square root of 12973114516041 is 3601821.

It is a perfect power (a square), and thus also a powerful number.

12973114516041 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 31 + 1 + 4 + 5 + 1 + 604 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-12973114516041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12973114516001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10205160 + ... + 11405766.

Almost surely, 212973114516041 is an apocalyptic number.

12973114516041 is the 3601821-st square number.

12973114516041 is the 1800911-st centered octagonal number.

It is an amenable number.

12973114516041 is a deficient number, since it is larger than the sum of its proper divisors (5765844281700).

12973114516041 is an frugal number, since it uses more digits than its factorization.

12973114516041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401220 (or 1200610 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12973114516041 in words is "twelve trillion, nine hundred seventy-three billion, one hundred fourteen million, five hundred sixteen thousand, forty-one".

Divisors: 1 3 9 1200607 3601821 10805463 1441457168449 4324371505347 12973114516041