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507349124873 = 1712713117310369
BaseRepresentation
bin1110110001000000101…
…11010100011100001001
31210111120000212221022122
413120200113110130021
531303022333443443
61025023432301025
751440404256363
oct7304027243411
91714500787278
10507349124873
11186190399818
12823b2241775
1338ac5891786
141a7ad29dd33
15d2e5e11968
hex76205d4709

507349124873 has 32 divisors (see below), whose sum is σ = 548762480640. Its totient is φ = 467366215680.

The previous prime is 507349124837. The next prime is 507349124903. The reversal of 507349124873 is 378421943705.

It is a cyclic number.

It is not a de Polignac number, because 507349124873 - 212 = 507349120777 is a prime.

It is a super-2 number, since 2×5073491248732 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (507349124473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48924233 + ... + 48934601.

It is an arithmetic number, because the mean of its divisors is an integer number (17148827520).

Almost surely, 2507349124873 is an apocalyptic number.

It is an amenable number.

507349124873 is a deficient number, since it is larger than the sum of its proper divisors (41413355767).

507349124873 is a wasteful number, since it uses less digits than its factorization.

507349124873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10817.

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 507349124873 in words is "five hundred seven billion, three hundred forty-nine million, one hundred twenty-four thousand, eight hundred seventy-three".

Divisors: 1 17 127 131 173 2159 2227 2941 10369 16637 21971 22663 176273 282829 373507 385271 1316863 1358339 1793837 2878201 22386671 23091763 30495229 48929417 172509053 227817299 234992647 2932653901 3872894083 3994874999 29844066169 507349124873