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3660042645 = 33573873061
BaseRepresentation
bin1101101000100111…
…1101000110010101
3100110002000102122000
43122021331012111
524443432331040
61403103225513
7156461564160
oct33211750625
910402012560
103660042645
111608aa9236
128618a8299
1346437360c
1426a13cad7
151664c2130
hexda27d195

3660042645 has 32 divisors (see below), whose sum is σ = 7436279040. Its totient is φ = 1673161920.

The previous prime is 3660042629. The next prime is 3660042649. The reversal of 3660042645 is 5462400663.

3660042645 is a `hidden beast` number, since 3 + 6 + 6 + 0 + 0 + 4 + 2 + 645 = 666.

It is not a de Polignac number, because 3660042645 - 24 = 3660042629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3660042649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935586 + ... + 1937475.

It is an arithmetic number, because the mean of its divisors is an integer number (232383720).

Almost surely, 23660042645 is an apocalyptic number.

3660042645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3660042645 is an abundant number, since it is smaller than the sum of its proper divisors (3776236395).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3660042645 is a wasteful number, since it uses less digits than its factorization.

3660042645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873082 (or 3873076 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3660042645 is about 60498.2862980432. The cubic root of 3660042645 is about 1541.0925295395.

The spelling of 3660042645 in words is "three billion, six hundred sixty million, forty-two thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 3873061 11619183 19365305 27111427 34857549 58095915 81334281 104572647 135557135 174287745 244002843 406671405 522863235 732008529 1220014215 3660042645