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506240042605 = 511223311398443
BaseRepresentation
bin1110101110111100100…
…00100000011001101101
31210101200201221201110121
413113132100200121231
531243234422330410
61024321413004541
751401046235363
oct7273620403155
91711621851417
10506240042605
11185771340900
1282142923751
1338979b80b8b
141a705c79633
15d27d8849da
hex75de42066d

506240042605 has 96 divisors (see below), whose sum is σ = 724503306240. Its totient is φ = 338314838400.

The previous prime is 506240042593. The next prime is 506240042617.

506240042605 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (506240042593) and next prime (506240042617).

It is not a de Polignac number, because 506240042605 - 233 = 497650108013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59955514 + ... + 59963956.

It is an arithmetic number, because the mean of its divisors is an integer number (7546909440).

Almost surely, 2506240042605 is an apocalyptic number.

506240042605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506240042605 is a deficient number, since it is larger than the sum of its proper divisors (218263263635).

506240042605 is a wasteful number, since it uses less digits than its factorization.

506240042605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8663 (or 8652 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 506240042605 in words is "five hundred six billion, two hundred forty million, forty-two thousand, six hundred five".

Divisors: 1 5 11 23 31 55 115 121 139 155 253 341 605 695 713 1265 1529 1705 2783 3197 3565 3751 4309 7645 7843 8443 13915 15985 16819 18755 21545 35167 39215 42215 47399 84095 86273 92873 99107 175835 194189 236995 261733 386837 431365 464365 495535 521389 970945 1021603 1090177 1173577 1308665 1934185 2136079 2606945 2879063 5108015 5450885 5867885 6019859 10680395 11991947 12909347 14395315 23496869 26992271 30099295 31669693 36380887 59959735 64546735 66218449 117484345 134961355 142002817 158348465 181904435 296914981 331092245 400189757 710014085 728402939 836760401 1484574905 2000948785 3266064791 3642014695 4183802005 4402087327 9204364411 16330323955 22010436635 46021822055 101248008521 506240042605