Search a number
-
+
404669966404 = 221131706941969
BaseRepresentation
bin1011110001110000011…
…01011010100001000100
31102200112010221020120111
411320320031122201010
523112231002411104
6505523001442404
741144045650264
oct5707015324104
91380463836514
10404669966404
1114668a712270
12665171a0404
132c210cb4a82
141582c4b37a4
15a7d68ac404
hex5e3835a844

404669966404 has 48 divisors (see below), whose sum is σ = 797604595200. Its totient is φ = 177977894400.

The previous prime is 404669966387. The next prime is 404669966429.

404669966404 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9621132 + ... + 9663100.

It is an arithmetic number, because the mean of its divisors is an integer number (16616762400).

Almost surely, 2404669966404 is an apocalyptic number.

404669966404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404669966404 is a deficient number, since it is larger than the sum of its proper divisors (392934628796).

404669966404 is a wasteful number, since it uses less digits than its factorization.

404669966404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49084 (or 49082 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 58.

The spelling of 404669966404 in words is "four hundred four billion, six hundred sixty-nine million, nine hundred sixty-six thousand, four hundred four".

Divisors: 1 2 4 11 22 31 44 62 124 341 682 1364 7069 14138 28276 41969 77759 83938 155518 167876 219139 311036 438278 461659 876556 923318 1301039 1846636 2410529 2602078 4821058 5204156 9642116 14311429 28622858 57245716 296678861 593357722 1186715444 3263467471 6526934942 9197044691 13053869884 18394089382 36788178764 101167491601 202334983202 404669966404