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505295348769 = 3318714642547
BaseRepresentation
bin1110101101001011111…
…00110010010000100001
31210022020220100022011000
413112211330302100201
531234321102130034
61024043544542213
751335455412061
oct7264574622041
91708226308130
10505295348769
111853270623a2
1281b1a481969
1338859239343
141a6566073a1
15d22597a599
hex75a5f32421

505295348769 has 8 divisors (see below), whose sum is σ = 748585701920. Its totient is φ = 336863565828.

The previous prime is 505295348743. The next prime is 505295348783. The reversal of 505295348769 is 967843592505.

505295348769 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 95 + 3 + 487 + 69 = 666.

It is not a de Polignac number, because 505295348769 - 25 = 505295348737 is a prime.

It is a super-2 number, since 2×5052953487692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505295248769) 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 7 ways as a sum of consecutive naturals, for example, 9357321247 + ... + 9357321300.

It is an arithmetic number, because the mean of its divisors is an integer number (93573212740).

Almost surely, 2505295348769 is an apocalyptic number.

It is an amenable number.

505295348769 is a deficient number, since it is larger than the sum of its proper divisors (243290353151).

505295348769 is a wasteful number, since it uses less digits than its factorization.

505295348769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18714642556 (or 18714642550 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 505295348769 in words is "five hundred five billion, two hundred ninety-five million, three hundred forty-eight thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 18714642547 56143927641 168431782923 505295348769