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506541341106 = 23271587675221
BaseRepresentation
bin1110101111100000011…
…01110111100110110010
31210102110201220021022100
413113300031313212302
531244344040403411
61024411334521230
751411365233563
oct7276015674662
91712421807270
10506541341106
11185906421929
1282207806216
13389c7414a08
141a733caa16a
15d29a04d456
hex75f03779b2

506541341106 has 48 divisors (see below), whose sum is σ = 1114861745088. Its totient is φ = 166185146400.

The previous prime is 506541341069. The next prime is 506541341167. The reversal of 506541341106 is 601143145605.

506541341106 is a `hidden beast` number, since 5 + 0 + 6 + 541 + 3 + 4 + 1 + 106 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 412576 + ... + 1087796.

It is an arithmetic number, because the mean of its divisors is an integer number (23226286356).

Almost surely, 2506541341106 is an apocalyptic number.

506541341106 is an abundant number, since it is smaller than the sum of its proper divisors (608320403982).

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

506541341106 is a wasteful number, since it uses less digits than its factorization.

506541341106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675887 (or 675884 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 506541341106 in words is "five hundred six billion, five hundred forty-one million, three hundred forty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 18 71 142 213 426 587 639 1174 1278 1761 3522 5283 10566 41677 83354 125031 250062 375093 675221 750186 1350442 2025663 4051326 6076989 12153978 47940691 95881382 143822073 287644146 396354727 431466219 792709454 862932438 1189064181 2378128362 3567192543 7134385086 28141185617 56282371234 84423556851 168847113702 253270670553 506541341106