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668426688 = 26331920359
BaseRepresentation
bin100111110101110…
…110000111000000
31201120202121001000
4213311312013000
52332104123223
6150154412000
722364350566
oct4765660700
91646677030
10668426688
11313344956
12167a31000
13a8636267
1464ab9a36
153da37543
hex27d761c0

668426688 has 112 divisors (see below), whose sum is σ = 2068576000. Its totient is φ = 211071744.

The previous prime is 668426687. The next prime is 668426729. The reversal of 668426688 is 886624866.

It is a happy number.

668426688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668426687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22653 + ... + 43011.

Almost surely, 2668426688 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 668426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034288000).

668426688 is an abundant number, since it is smaller than the sum of its proper divisors (1400149312).

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

668426688 is a wasteful number, since it uses less digits than its factorization.

668426688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20399 (or 20383 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 668426688 is about 25853.9491760930. The cubic root of 668426688 is about 874.3485493368.

The spelling of 668426688 in words is "six hundred sixty-eight million, four hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 20359 32832 40718 61077 81436 122154 162872 183231 244308 325744 366462 386821 488616 549693 651488 732924 773642 977232 1099386 1160463 1302976 1465848 1547284 1954464 2198772 2320926 2931696 3094568 3481389 3908928 4397544 4641852 5863392 6189136 6962778 8795088 9283704 10444167 11726784 12378272 13925556 17590176 18567408 20888334 24756544 27851112 35180352 37134816 41776668 55702224 74269632 83553336 111404448 167106672 222808896 334213344 668426688