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284196424864 = 25112401183037
BaseRepresentation
bin1000010001010110110…
…11010100110010100000
31000011120010201020012111
410020223123110302200
514124013241043424
6334320311405104
726350436516302
oct4105333246240
91004503636174
10284196424864
11aa588522400
12470b4983794
1320a5197a611
14da80301972
1575d5068194
hex422b6d4ca0

284196424864 has 72 divisors (see below), whose sum is σ = 616537511604. Its totient is φ = 128857344000.

The previous prime is 284196424789. The next prime is 284196424871. The reversal of 284196424864 is 468424691482.

It can be written as a sum of positive squares in 2 ways, for example, as 283777813264 + 418611600 = 532708^2 + 20460^2 .

It is a junction number, because it is equal to n+sod(n) for n = 284196424799 and 284196424808.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1461154 + ... + 1644190.

Almost surely, 2284196424864 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 284196424864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308268755802).

284196424864 is an abundant number, since it is smaller than the sum of its proper divisors (332341086740).

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

284196424864 is a wasteful number, since it uses less digits than its factorization.

284196424864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183470 (or 183451 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 58.

The spelling of 284196424864 in words is "two hundred eighty-four billion, one hundred ninety-six million, four hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 401 484 802 968 1604 1936 3208 3872 4411 6416 8822 12832 17644 35288 48521 70576 97042 141152 183037 194084 366074 388168 732148 776336 1464296 1552672 2013407 2928592 4026814 5857184 8053628 16107256 22147477 32214512 44294954 64429024 73397837 88589908 146795674 177179816 293591348 354359632 587182696 708719264 807376207 1174365392 1614752414 2348730784 3229504828 6459009656 8881138277 12918019312 17762276554 25836038624 35524553108 71049106216 142098212432 284196424864