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428024714848 = 25435316336007
BaseRepresentation
bin1100011101010000100…
…00101101011001100000
31111220210210000101112121
412032220100231121200
524003043311333343
6524344251034024
742631565022013
oct6165020553140
91456723011477
10428024714848
1115558487a465
126ab5473b914
1331493700553
1416a0614737a
15b201de2aed
hex63a842d660

428024714848 has 96 divisors (see below), whose sum is σ = 883954342656. Its totient is φ = 203827373568.

The previous prime is 428024714827. The next prime is 428024714863. The reversal of 428024714848 is 848417420824.

It is a junction number, because it is equal to n+sod(n) for n = 428024714795 and 428024714804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11869261 + ... + 11905267.

It is an arithmetic number, because the mean of its divisors is an integer number (9207857736).

Almost surely, 2428024714848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428024714848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441977171328).

428024714848 is an abundant number, since it is smaller than the sum of its proper divisors (455929627808).

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

428024714848 is a wasteful number, since it uses less digits than its factorization.

428024714848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36276 (or 36268 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 52.

The spelling of 428024714848 in words is "four hundred twenty-eight billion, twenty-four million, seven hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 43 53 86 106 163 172 212 326 344 424 652 688 848 1304 1376 1696 2279 2608 4558 5216 7009 8639 9116 14018 17278 18232 28036 34556 36007 36464 56072 69112 72014 72928 112144 138224 144028 224288 276448 288056 371477 576112 742954 1152224 1485908 1548301 1908371 2971816 3096602 3816742 5869141 5943632 6193204 7633484 11738282 11887264 12386408 15266968 23476564 24772816 30533936 46953128 49545632 61067872 82059953 93906256 164119906 187812512 252373063 311064473 328239812 504746126 622128946 656479624 1009492252 1244257892 1312959248 2018984504 2488515784 2625918496 4037969008 4977031568 8075938016 9954063136 13375772339 26751544678 53503089356 107006178712 214012357424 428024714848