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10166506713 = 3211232925309
BaseRepresentation
bin10010111011111100…
…01001010011011001
3222020112002001101200
421131332021103121
5131310111203323
64400451304413
7506635611156
oct113576112331
928215061350
1010166506713
114347800a70
121b788ab109
13c6034875c
146c630722d
153e77ed443
hex25df894d9

10166506713 has 72 divisors (see below), whose sum is σ = 17316037440. Its totient is φ = 5689326720.

The previous prime is 10166506711. The next prime is 10166506717. The reversal of 10166506713 is 31760566101.

It is not a de Polignac number, because 10166506713 - 21 = 10166506711 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10166506711) 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 71 ways as a sum of consecutive naturals, for example, 1912303 + ... + 1917611.

It is an arithmetic number, because the mean of its divisors is an integer number (240500520).

Almost surely, 210166506713 is an apocalyptic number.

It is an amenable number.

10166506713 is a deficient number, since it is larger than the sum of its proper divisors (7149530727).

10166506713 is a wasteful number, since it uses less digits than its factorization.

10166506713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10166506713 in words is "ten billion, one hundred sixty-six million, five hundred six thousand, seven hundred thirteen".

Divisors: 1 3 9 11 23 29 33 69 87 99 207 253 261 319 667 759 841 957 2001 2277 2523 2871 5309 6003 7337 7569 9251 15927 19343 22011 27753 47781 58029 58399 66033 83259 122107 153961 174087 175197 212773 366321 461883 525591 638319 1098963 1343177 1385649 1693571 1914957 3541103 4029531 4464869 5080713 10623309 12088593 13394607 15242139 31869927 38952133 40183821 49113559 102691987 116856399 147340677 308075961 350569197 442022031 924227883 1129611857 3388835571 10166506713