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505352355001 = 133112281102107
BaseRepresentation
bin1110101101010010101…
…10001111110010111001
31210022101212121111222221
413112221112033302321
531234430200330001
61024053342444041
751340050100024
oct7265126176271
91708355544887
10505352355001
11185356258a8a
1281b35593621
1338867ca8740
141a6600061bb
15d22a98b1a1
hex75a958fcb9

505352355001 has 16 divisors (see below), whose sum is σ = 561832524288. Its totient is φ = 451390204800.

The previous prime is 505352354959. The next prime is 505352355017. The reversal of 505352355001 is 100553253505.

It is a cyclic number.

It is not a de Polignac number, because 505352355001 - 27 = 505352354873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505352355701) 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, 4898190 + ... + 5000296.

It is an arithmetic number, because the mean of its divisors is an integer number (35114532768).

Almost surely, 2505352355001 is an apocalyptic number.

It is an amenable number.

505352355001 is a deficient number, since it is larger than the sum of its proper divisors (56480169287).

505352355001 is a wasteful number, since it uses less digits than its factorization.

505352355001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114432.

The product of its (nonzero) digits is 56250, while the sum is 34.

The spelling of 505352355001 in words is "five hundred five billion, three hundred fifty-two million, three hundred fifty-five thousand, one".

Divisors: 1 13 31 403 12281 102107 159653 380711 1327391 3165317 4949243 41149121 1253976067 16301688871 38873258077 505352355001