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506166363313 = 13146221266281
BaseRepresentation
bin1110101110110011101…
…11011100010010110001
31210101111121022102110221
413113121313130102301
531243112042111223
61024310221453041
751366163046062
oct7273167342261
91711447272427
10506166363313
11185733797526
1282122111181
1338967824770
141a6da17a569
15d27717db5d
hex75d9ddc4b1

506166363313 has 8 divisors (see below), whose sum is σ = 545108012456. Its totient is φ = 467225539200.

The previous prime is 506166363299. The next prime is 506166363323. The reversal of 506166363313 is 313363661605.

It can be written as a sum of positive squares in 4 ways, for example, as 195374608144 + 310791755169 = 442012^2 + 557487^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-506166363313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 506166363313.

It is not an unprimeable number, because it can be changed into a prime (506166363323) 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, 1767733 + ... + 2034013.

It is an arithmetic number, because the mean of its divisors is an integer number (68138501557).

Almost surely, 2506166363313 is an apocalyptic number.

It is an amenable number.

506166363313 is a deficient number, since it is larger than the sum of its proper divisors (38941649143).

506166363313 is a wasteful number, since it uses less digits than its factorization.

506166363313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412515.

The product of its (nonzero) digits is 524880, while the sum is 43.

The spelling of 506166363313 in words is "five hundred six billion, one hundred sixty-six million, three hundred sixty-three thousand, three hundred thirteen".

Divisors: 1 13 146221 266281 1900873 3461653 38935874101 506166363313