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506120966000 = 24531319466191
BaseRepresentation
bin1110101110101110010…
…10010000111101110000
31210101101102220000001222
413113113022100331300
531243013431403000
61024301520444212
751365102141306
oct7272712207560
91711342800058
10506120966000
111857100aa891
128210aa79668
133895b2bb350
141a6d4120276
15d2731b2a85
hex75d7290f70

506120966000 has 80 divisors (see below), whose sum is σ = 1317939063168. Its totient is φ = 186875424000.

The previous prime is 506120965997. The next prime is 506120966033. The reversal of 506120966000 is 669021605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9707096 + ... + 9759095.

Almost surely, 2506120966000 is an apocalyptic number.

506120966000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506120966000 is an abundant number, since it is smaller than the sum of its proper divisors (811818097168).

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

506120966000 is a wasteful number, since it uses less digits than its factorization.

506120966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19466227 (or 19466211 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

Adding to 506120966000 its reverse (669021605), we get a palindrome (506789987605).

The spelling of 506120966000 in words is "five hundred six billion, one hundred twenty million, nine hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 19466191 38932382 77864764 97330955 155729528 194661910 253060483 311459056 389323820 486654775 506120966 778647640 973309550 1012241932 1265302415 1557295280 1946619100 2024483864 2433273875 2530604830 3893238200 4048967728 4866547750 5061209660 6326512075 7786476400 9733095500 10122419320 12653024150 19466191000 20244838640 25306048300 31632560375 38932382000 50612096600 63265120750 101224193200 126530241500 253060483000 506120966000