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8680066405461 = 331157175112089
BaseRepresentation
bin111111001001111110001…
…0001100101010001010101
31010201210202202022021112000
41332103330101211101111
52114203233444433321
630243322323145513
71554054065041623
oct176237421452125
933653682267460
108680066405461
112847217219260
12b82308815299
134ac6b0366b39
14220190426513
15100bc601c826
hex7e4fc465455

8680066405461 has 32 divisors (see below), whose sum is σ = 14030846697600. Its totient is φ = 5259725101440.

The previous prime is 8680066405403. The next prime is 8680066405471. The reversal of 8680066405461 is 1645046600868.

8680066405461 is a `hidden beast` number, since 8 + 6 + 80 + 0 + 66 + 40 + 5 + 461 = 666.

It is not a de Polignac number, because 8680066405461 - 213 = 8680066397269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8680066405398 and 8680066405407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8680066405471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 858096 + ... + 4253993.

It is an arithmetic number, because the mean of its divisors is an integer number (438463959300).

Almost surely, 28680066405461 is an apocalyptic number.

It is an amenable number.

8680066405461 is a deficient number, since it is larger than the sum of its proper divisors (5350780292139).

8680066405461 is a wasteful number, since it uses less digits than its factorization.

8680066405461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117826 (or 5117820 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 8680066405461 in words is "eight trillion, six hundred eighty billion, sixty-six million, four hundred five thousand, four hundred sixty-one".

Divisors: 1 3 9 11 27 33 99 297 5717 17151 51453 62887 154359 188661 565983 1697949 5112089 15336267 46008801 56232979 138026403 168698937 506096811 1518290433 29225812813 87677438439 263032315317 321483940943 789096945951 964451822829 2893355468487 8680066405461