Search a number
-
+
505505500071 = 311136119316959
BaseRepresentation
bin1110101101100100111…
…10011100101110100111
31210022210112210002112120
413112302132130232213
531240233402000241
61024120453121023
751343616566065
oct7266236345647
91708715702476
10505505500071
11185424749160
1281b78929173
1338890939020
141a6764ad035
15d23913c666
hex75b279cba7

505505500071 has 32 divisors (see below), whose sum is σ = 804821821440. Its totient is φ = 278164195200.

The previous prime is 505505500063. The next prime is 505505500187. The reversal of 505505500071 is 170005505505.

It is not a de Polignac number, because 505505500071 - 23 = 505505500063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505505500061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9632311 + ... + 9684648.

It is an arithmetic number, because the mean of its divisors is an integer number (25150681920).

Almost surely, 2505505500071 is an apocalyptic number.

505505500071 is a deficient number, since it is larger than the sum of its proper divisors (299316321369).

505505500071 is a wasteful number, since it uses less digits than its factorization.

505505500071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19317047.

The product of its (nonzero) digits is 21875, while the sum is 33.

The spelling of 505505500071 in words is "five hundred five billion, five hundred five million, five hundred thousand, seventy-one".

Divisors: 1 3 11 13 33 39 61 143 183 429 671 793 2013 2379 8723 26169 19316959 57950877 212486549 251120467 637459647 753361401 1178334499 2762325137 3535003497 8286975411 12961679489 15318348487 38885038467 45955045461 168501833357 505505500071