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506775002141 = 7316014336117
BaseRepresentation
bin1110101111111100010…
…01001101110000011101
31210110002000120110222202
413113332021031300131
531300333400032031
61024450443021245
751420233305232
oct7277611156035
91713060513882
10506775002141
11185a16305921
1282271b0a825
1338a33956495
141a756d31789
15d2b08062cb
hex75fe24dc1d

506775002141 has 8 divisors (see below), whose sum is σ = 514038116664. Its totient is φ = 499520563200.

The previous prime is 506775002137. The next prime is 506775002147. The reversal of 506775002141 is 141200577605.

It can be written as a sum of positive squares in 4 ways, for example, as 281573503225 + 225201498916 = 530635^2 + 474554^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506775002141 - 22 = 506775002137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506775002095 and 506775002104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506775002147) 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 7 ways as a sum of consecutive naturals, for example, 2051186 + ... + 2284931.

It is an arithmetic number, because the mean of its divisors is an integer number (64254764583).

Almost surely, 2506775002141 is an apocalyptic number.

It is an amenable number.

506775002141 is a deficient number, since it is larger than the sum of its proper divisors (7263114523).

506775002141 is a wasteful number, since it uses less digits than its factorization.

506775002141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337791.

The product of its (nonzero) digits is 58800, while the sum is 38.

Adding to 506775002141 its reverse (141200577605), we get a palindrome (647975579746).

The spelling of 506775002141 in words is "five hundred six billion, seven hundred seventy-five million, two thousand, one hundred forty-one".

Divisors: 1 73 1601 116873 4336117 316536541 6942123317 506775002141