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505535206016 = 274196329117
BaseRepresentation
bin1110101101101000011…
…11110001001010000000
31210022212121200022102202
413112310033301022000
531240314003043031
61024123433532332
751344430231251
oct7266417611200
91708777608382
10505535206016
1118543a498725
1281b868740a8
1338896b3a1c9
141a67a402b28
15d23ba592cb
hex75b43f1280

505535206016 has 32 divisors (see below), whose sum is σ = 1031684853780. Its totient is φ = 246602536960.

The previous prime is 505535205991. The next prime is 505535206019. The reversal of 505535206016 is 610602535505.

It can be written as a sum of positive squares in 2 ways, for example, as 496032855616 + 9502350400 = 704296^2 + 97480^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (505535206019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48159311 + ... + 48169806.

Almost surely, 2505535206016 is an apocalyptic number.

It is an amenable number.

505535206016 is an abundant number, since it is smaller than the sum of its proper divisors (526149647764).

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

505535206016 is an equidigital number, since it uses as much as digits as its factorization.

505535206016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96329172 (or 96329160 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 38.

The spelling of 505535206016 in words is "five hundred five billion, five hundred thirty-five million, two hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 96329117 192658234 385316468 770632936 1541265872 3082531744 3949493797 6165063488 7898987594 12330126976 15797975188 31595950376 63191900752 126383801504 252767603008 505535206016