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505509975516 = 2237131273645049
BaseRepresentation
bin1110101101100101011…
…11100001010111011100
31210022210212012110200210
413112302233201113130
531240241023204031
61024121133052420
751344002616040
oct7266257412734
91708725173623
10505509975516
11185427225677
1281b7a327110
1338891845110
141a676d16020
15d239723746
hex75b2be15dc

505509975516 has 96 divisors (see below), whose sum is σ = 1463152230400. Its totient is φ = 132271501824.

The previous prime is 505509975511. The next prime is 505509975541. The reversal of 505509975516 is 615579905505.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505509975511) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1683841 + ... + 1961208.

Almost surely, 2505509975516 is an apocalyptic number.

It is an amenable number.

505509975516 is an abundant number, since it is smaller than the sum of its proper divisors (957642254884).

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

505509975516 is a wasteful number, since it uses less digits than its factorization.

505509975516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645203 (or 3645201 counting only the distinct ones).

The product of its (nonzero) digits is 10631250, while the sum is 57.

The spelling of 505509975516 in words is "five hundred five billion, five hundred nine million, nine hundred seventy-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 127 156 182 254 273 364 381 508 546 762 889 1092 1524 1651 1778 2667 3302 3556 4953 5334 6604 9906 10668 11557 19812 23114 34671 46228 69342 138684 3645049 7290098 10935147 14580196 21870294 25515343 43740588 47385637 51030686 76546029 94771274 102061372 142156911 153092058 189542548 284313822 306184116 331699459 462921223 568627644 663398918 925842446 995098377 1326797836 1388763669 1851684892 1990196754 2777527338 3240448561 3980393508 5555054676 6017975899 6480897122 9721345683 12035951798 12961794244 18053927697 19442691366 24071903596 36107855394 38885382732 42125831293 72215710788 84251662586 126377493879 168503325172 252754987758 505509975516