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168606468 = 223323103659
BaseRepresentation
bin10100000110010…
…11101100000100
3102202021002121000
422003023230010
5321130401333
624421453300
74115063022
oct1203135404
9382232530
10168606468
11871a0598
1248571230
1328c14c54
141856d712
15ec07713
hexa0cbb04

168606468 has 96 divisors (see below), whose sum is σ = 461260800. Its totient is φ = 53155872.

The previous prime is 168606439. The next prime is 168606479. The reversal of 168606468 is 864606861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255523 + ... + 256181.

It is an arithmetic number, because the mean of its divisors is an integer number (4804800).

Almost surely, 2168606468 is an apocalyptic number.

168606468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168606468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230630400).

168606468 is an abundant number, since it is smaller than the sum of its proper divisors (292654332).

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

168606468 is a wasteful number, since it uses less digits than its factorization.

168606468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 168606468 is about 12984.8553322707. The cubic root of 168606468 is about 552.4480058631.

The spelling of 168606468 in words is "one hundred sixty-eight million, six hundred six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 103 108 138 206 207 276 309 412 414 618 621 659 828 927 1236 1242 1318 1854 1977 2369 2484 2636 2781 3708 3954 4738 5562 5931 7107 7908 9476 11124 11862 14214 15157 17793 21321 23724 28428 30314 35586 42642 45471 60628 63963 67877 71172 85284 90942 127926 135754 136413 181884 203631 255852 271508 272826 407262 409239 545652 610893 814524 818478 1221786 1561171 1636956 1832679 2443572 3122342 3665358 4683513 6244684 7330716 9367026 14050539 18734052 28101078 42151617 56202156 84303234 168606468