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668444112 = 24327897451
BaseRepresentation
bin100111110101111…
…010010111010000
31201120210110221100
4213311322113100
52332110202422
6150155024400
722364452440
oct4765722720
91646713840
10668444112
11313356a56
12167a3b100
13a864117b
1464ac2120
153da3c7ac
hex27d7a5d0

668444112 has 120 divisors (see below), whose sum is σ = 2162272320. Its totient is φ = 188812800.

The previous prime is 668444089. The next prime is 668444123. The reversal of 668444112 is 211444866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 85987 + ... + 93437.

It is an arithmetic number, because the mean of its divisors is an integer number (18018936).

Almost surely, 2668444112 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 668444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081136160).

668444112 is an abundant number, since it is smaller than the sum of its proper divisors (1493828208).

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

668444112 is a wasteful number, since it uses less digits than its factorization.

668444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7561 (or 7552 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 668444112 is about 25854.2861436939. The cubic root of 668444112 is about 874.3561465384.

Adding to 668444112 its reverse (211444866), we get a palindrome (879888978).

The spelling of 668444112 in words is "six hundred sixty-eight million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 89 112 126 144 168 178 252 267 336 356 504 534 623 712 801 1008 1068 1246 1424 1602 1869 2136 2492 3204 3738 4272 4984 5607 6408 7451 7476 9968 11214 12816 14902 14952 22353 22428 29804 29904 44706 44856 52157 59608 67059 89412 89712 104314 119216 134118 156471 178824 208628 268236 312942 357648 417256 469413 536472 625884 663139 834512 938826 1072944 1251768 1326278 1877652 1989417 2503536 2652556 3755304 3978834 4641973 5305112 5968251 7510608 7957668 9283946 10610224 11936502 13925919 15915336 18567892 23873004 27851838 31830672 37135784 41777757 47746008 55703676 74271568 83555514 95492016 111407352 167111028 222814704 334222056 668444112