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3645132543 = 331310384993
BaseRepresentation
bin1101100101000100…
…0100111011111111
3100102000221220211000
43121101010323333
524431123220133
61401411501343
7156221054403
oct33121047377
910360856730
103645132543
111600645038
128588b7853
13461252b80
1426817b103
15165029413
hexd9444eff

3645132543 has 16 divisors (see below), whose sum is σ = 5815596640. Its totient is φ = 2243158272.

The previous prime is 3645132527. The next prime is 3645132563. The reversal of 3645132543 is 3452315463.

3645132543 is a `hidden beast` number, since 3 + 64 + 51 + 3 + 2 + 543 = 666.

It is not a de Polignac number, because 3645132543 - 24 = 3645132527 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3645132498 and 3645132507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645132523) 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 15 ways as a sum of consecutive naturals, for example, 5192146 + ... + 5192847.

It is an arithmetic number, because the mean of its divisors is an integer number (363474790).

Almost surely, 23645132543 is an apocalyptic number.

3645132543 is a deficient number, since it is larger than the sum of its proper divisors (2170464097).

3645132543 is a wasteful number, since it uses less digits than its factorization.

3645132543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385015 (or 10385009 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 3645132543 is about 60374.9330682859. The cubic root of 3645132543 is about 1538.9970057205.

The spelling of 3645132543 in words is "three billion, six hundred forty-five million, one hundred thirty-two thousand, five hundred forty-three".

Divisors: 1 3 9 13 27 39 117 351 10384993 31154979 93464937 135004909 280394811 405014727 1215044181 3645132543