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505225243341 = 327132313126669
BaseRepresentation
bin1110101101000011100…
…01010110101011001101
31210022002000102120120200
413112201301112223031
531234200130241331
61024033002204113
751333644466060
oct7264161265315
91708060376520
10505225243341
111852a052a125
1281abaab3639
1338847861840
141a64b1988d7
15d21e72d5e6
hex75a1c56acd

505225243341 has 48 divisors (see below), whose sum is σ = 898250720640. Its totient is φ = 266470922880.

The previous prime is 505225243331. The next prime is 505225243409. The reversal of 505225243341 is 143342522505.

505225243341 is a `hidden beast` number, since 5 + 0 + 52 + 25 + 243 + 341 = 666.

It is not a de Polignac number, because 505225243341 - 213 = 505225235149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505225243296 and 505225243305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505225243331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18930955 + ... + 18957623.

It is an arithmetic number, because the mean of its divisors is an integer number (18713556680).

Almost surely, 2505225243341 is an apocalyptic number.

It is an amenable number.

505225243341 is a deficient number, since it is larger than the sum of its proper divisors (393025477299).

505225243341 is a wasteful number, since it uses less digits than its factorization.

505225243341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49826 (or 49823 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 505225243341 its reverse (143342522505), we get a palindrome (648567765846).

The spelling of 505225243341 in words is "five hundred five billion, two hundred twenty-five million, two hundred forty-three thousand, three hundred forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 23131 26669 69393 80007 161917 186683 208179 240021 300703 346697 485751 560049 902109 1040091 1457253 1680147 2104921 2426879 2706327 3120273 6314763 7280637 18944289 21841911 616880639 1850641917 4318164473 5551925751 8019448307 12954493419 24058344921 38863480257 56136138149 72175034763 168408414447 505225243341