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404666666404 = 2272111321110611
BaseRepresentation
bin1011110001110000000…
…00110100110110100100
31102200111220201120211021
411320320000310312210
523112224131311104
6505522403020524
741144005624300
oct5707000646644
91380456646737
10404666666404
111466888689a0
126651606a744
132c2103caa00
141582bc94d00
15a7d6459754
hex5e38034da4

404666666404 has 108 divisors (see below), whose sum is σ = 973122676848. Its totient is φ = 145534334400.

The previous prime is 404666666399. The next prime is 404666666429.

It is a happy number.

404666666404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4046666664042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 35 ways as a sum of consecutive naturals, for example, 190942 + ... + 919669.

It is an arithmetic number, because the mean of its divisors is an integer number (9010395156).

Almost surely, 2404666666404 is an apocalyptic number.

404666666404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404666666404 is an abundant number, since it is smaller than the sum of its proper divisors (568456010444).

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

404666666404 is a wasteful number, since it uses less digits than its factorization.

404666666404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110666 (or 1110644 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 52.

The spelling of 404666666404 in words is "four hundred four billion, six hundred sixty-six million, six hundred sixty-six thousand, four hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 169 182 196 286 308 338 364 539 572 637 676 1001 1078 1183 1274 1859 2002 2156 2366 2548 3718 4004 4732 7007 7436 8281 13013 14014 16562 26026 28028 33124 52052 91091 182182 364364 1110611 2221222 4442444 7774277 12216721 14437943 15548554 24433442 28875886 31097108 48866884 54419939 57751772 85517047 101065601 108839878 158817373 171034094 187693259 202131202 217679756 317634746 342068188 375386518 404262404 598619329 635269492 707459207 750773036 1111721611 1197238658 1313852813 1414918414 2064625849 2223443222 2394477316 2627705626 2829836828 4129251698 4446886444 5255411252 7782051277 8258503396 9196969691 14452380943 15564102554 18393939382 28904761886 31128205108 36787878764 57809523772 101166666601 202333333202 404666666404