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505406240107 = 29371783726407
BaseRepresentation
bin1110101101011001000…
…11110011010101101011
31210022112122000011110121
413112230203303111223
531240032444140412
61024102545424111
751341303105326
oct7265443632553
91708478004417
10505406240107
1118538371272a
1281b4b63b037
13388761c4312
141a6672317bd
15d230582107
hex75ac8f356b

505406240107 has 16 divisors (see below), whose sum is σ = 537015130560. Its totient is φ = 474745235328.

The previous prime is 505406240099. The next prime is 505406240117. The reversal of 505406240107 is 701042604505.

It is a cyclic number.

It is not a de Polignac number, because 505406240107 - 23 = 505406240099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505406240117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19125898 + ... + 19152304.

It is an arithmetic number, because the mean of its divisors is an integer number (33563445660).

Almost surely, 2505406240107 is an apocalyptic number.

505406240107 is a deficient number, since it is larger than the sum of its proper divisors (31608890453).

505406240107 is a wasteful number, since it uses less digits than its factorization.

505406240107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44310.

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 505406240107 in words is "five hundred five billion, four hundred six million, two hundred forty thousand, one hundred seven".

Divisors: 1 29 37 1073 17837 26407 517273 659969 765803 977059 19139101 28334711 471021659 13659628111 17427801383 505406240107