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428309059959 = 331131431081859
BaseRepresentation
bin1100011101110010011…
…01011001100101110111
31111221112121001121201000
412032321031121211313
524004134104404314
6524432405334343
742641616640344
oct6167115314567
91457477047630
10428309059959
11155710331120
126b013a073b3
133150a5a98b1
1416a31c037cb
15b21bd5d209
hex63b9359977

428309059959 has 64 divisors (see below), whose sum is σ = 731164262400. Its totient is φ = 245365394400.

The previous prime is 428309059951. The next prime is 428309060029. The reversal of 428309059959 is 959950903824.

428309059959 is a `hidden beast` number, since 4 + 2 + 8 + 30 + 9 + 0 + 599 + 5 + 9 = 666.

It is not a de Polignac number, because 428309059959 - 23 = 428309059951 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 428309059896 and 428309059905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428309059951) 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 63 ways as a sum of consecutive naturals, for example, 145029 + ... + 936830.

It is an arithmetic number, because the mean of its divisors is an integer number (11424441600).

Almost surely, 2428309059959 is an apocalyptic number.

428309059959 is a deficient number, since it is larger than the sum of its proper divisors (302855202441).

428309059959 is a wasteful number, since it uses less digits than its factorization.

428309059959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081953 (or 1081947 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 428309059959 in words is "four hundred twenty-eight billion, three hundred nine million, fifty-nine thousand, nine hundred fifty-nine".

Divisors: 1 3 9 11 27 31 33 43 93 99 129 279 297 341 387 473 837 1023 1161 1333 1419 3069 3999 4257 9207 11997 12771 14663 35991 43989 131967 395901 1081859 3245577 9736731 11900449 29210193 33537629 35701347 46519937 100612887 107104041 139559811 301838661 321312123 368913919 418679433 511719307 905515983 1106741757 1256038299 1442118047 1535157921 3320225271 4326354141 4605473763 9960675813 12979062423 13816421289 15863298517 38937187269 47589895551 142769686653 428309059959