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284068949928 = 23329216198693
BaseRepresentation
bin1000010001000111101…
…01000010111110101000
31000011020020211211110120
410020203311002332220
514123233122344203
6334255515243240
726344331143251
oct4104365027650
91004206754416
10284068949928
11aa522575615
124707a149520
1320a3143726a
14da6b3dbb28
1575c8c87b53
hex4223d42fa8

284068949928 has 96 divisors (see below), whose sum is σ = 736044472800. Its totient is φ = 91357509376.

The previous prime is 284068949921. The next prime is 284068949959. The reversal of 284068949928 is 829949860482.

It is not an unprimeable number, because it can be changed into a prime (284068949921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32673550 + ... + 32682242.

It is an arithmetic number, because the mean of its divisors is an integer number (7667129925).

Almost surely, 2284068949928 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 284068949928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368022236400).

284068949928 is an abundant number, since it is smaller than the sum of its proper divisors (451975522872).

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

284068949928 is a wasteful number, since it uses less digits than its factorization.

284068949928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10379 (or 10346 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 69.

The spelling of 284068949928 in words is "two hundred eighty-four billion, sixty-eight million, nine hundred forty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 841 1619 1682 2523 3238 3364 4857 5046 6476 6728 8693 9714 10092 12952 17386 19428 20184 26079 34772 38856 46951 52158 69544 93902 104316 140853 187804 208632 252097 281706 375608 504194 563412 756291 1008388 1126824 1361579 1512582 2016776 2723158 3025164 4084737 5446316 6050328 7310813 8169474 10892632 14073967 14621626 16338948 21932439 28147934 29243252 32677896 42221901 43864878 56295868 58486504 84443802 87729756 112591736 168887604 175459512 337775208 408145043 816290086 1224435129 1632580172 2448870258 3265160344 4897740516 9795481032 11836206247 23672412494 35508618741 47344824988 71017237482 94689649976 142034474964 284068949928