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506065320207 = 3219232943310247
BaseRepresentation
bin1110101110100111101…
…01111111100100001111
31210101020120011220101200
413113103311333210033
531242410210221312
61024252212040543
751363525150546
oct7272365774417
91711216156350
10506065320207
11185691753327
12820b4303153
133894c907245
141a6ca99715d
15d26d3700dc
hex75d3d7f90f

506065320207 has 96 divisors (see below), whose sum is σ = 832596710400. Its totient is φ = 294471023616.

The previous prime is 506065320203. The next prime is 506065320209. The reversal of 506065320207 is 702023560605.

It is a happy number.

506065320207 is a `hidden beast` number, since 5 + 0 + 606 + 5 + 3 + 20 + 20 + 7 = 666.

It is not a de Polignac number, because 506065320207 - 22 = 506065320203 is a prime.

It is a super-2 number, since 2×5060653202072 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506065320203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49381558 + ... + 49391804.

It is an arithmetic number, because the mean of its divisors is an integer number (8672882400).

Almost surely, 2506065320207 is an apocalyptic number.

506065320207 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

506065320207 is a deficient number, since it is larger than the sum of its proper divisors (326531390193).

506065320207 is a wasteful number, since it uses less digits than its factorization.

506065320207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10757 (or 10754 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 506065320207 in words is "five hundred six billion, sixty-five million, three hundred twenty thousand, two hundred seven".

Divisors: 1 3 9 19 23 29 57 69 87 171 207 261 433 437 551 667 1299 1311 1653 2001 3897 3933 4959 6003 8227 9959 10247 12557 12673 24681 29877 30741 37671 38019 74043 89631 92223 113013 114057 189221 194693 235681 238583 288811 297163 567663 584079 707043 715749 866433 891489 1702989 1752237 2121129 2147247 2599299 2674467 4436951 4477939 5487409 5646097 6834749 13310853 13433817 16462227 16938291 20504247 39932559 40301451 49386681 50814873 61512741 84302069 102049873 128671579 129860231 252906207 306149619 386014737 389580693 758718621 918448857 1158044211 1168742079 1938947587 2444760001 2959446317 5816842761 7334280003 8878338951 17450528283 22002840009 26635016853 56229480023 168688440069 506065320207