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6066053305 = 5131716573313
BaseRepresentation
bin1011010011001000…
…01010000010111001
3120122202100102202221
411221210022002321
544410402201210
62441532324041
7303215413414
oct55144120271
916582312687
106066053305
1126331466a4
121213613621
13758985070
144178c4b7b
152578341da
hex16990a0b9

6066053305 has 32 divisors (see below), whose sum is σ = 8307853344. Its totient is φ = 4212228096.

The previous prime is 6066053299. The next prime is 6066053377. The reversal of 6066053305 is 5033506606.

6066053305 = T1 + T2 + ... + T3313.

It is a happy number.

6066053305 is a nontrivial binomial coefficient, being equal to C(3315, 3).

It can be written as a sum of positive squares in 16 ways, for example, as 716739984 + 5349313321 = 26772^2 + 73139^2 .

It is a 5-Lehmer number, since φ(6066053305) divides (6066053305-1)5.

It is a cyclic number.

It is not a de Polignac number, because 6066053305 - 29 = 6066052793 is a prime.

It is an unprimeable number.

It is the 3313-rd tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1829329 + ... + 1832641.

It is an arithmetic number, because the mean of its divisors is an integer number (259620417).

Almost surely, 26066053305 is an apocalyptic number.

6066053305 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6066053305 is a deficient number, since it is larger than the sum of its proper divisors (2241800039).

6066053305 is a wasteful number, since it uses less digits than its factorization.

6066053305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005.

The product of its (nonzero) digits is 48600, while the sum is 34.

The square root of 6066053305 is about 77884.8721190450. The cubic root of 6066053305 is about 1823.7644284530.

The spelling of 6066053305 in words is "six billion, sixty-six million, fifty-three thousand, three hundred five".

Divisors: 1 5 13 17 65 85 221 1105 1657 3313 8285 16565 21541 28169 43069 56321 107705 140845 215345 281605 366197 732173 1830985 3660865 5489641 27448205 71365333 93323897 356826665 466619485 1213210661 6066053305