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2668488432 = 243316129399
BaseRepresentation
bin1001111100001101…
…1110011011110000
320212222020020221220
42133003132123300
520431113112212
61120442545040
7123061530441
oct23703363360
96788206856
102668488432
11114a323945
12625808180
13336b0274c
141b458d2c8
1510940d38c
hex9f0de6f0

2668488432 has 80 divisors (see below), whose sum is σ = 7232870400. Its totient is φ = 846662400.

The previous prime is 2668488409. The next prime is 2668488439. The reversal of 2668488432 is 2348848662.

It is a happy number.

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 (2668488439) 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, 76069 + ... + 105467.

It is an arithmetic number, because the mean of its divisors is an integer number (90410880).

Almost surely, 22668488432 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 2668488432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616435200).

2668488432 is an abundant number, since it is smaller than the sum of its proper divisors (4564381968).

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

2668488432 is a wasteful number, since it uses less digits than its factorization.

2668488432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29502 (or 29496 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 51.

The square root of 2668488432 is about 51657.4141048504. The cubic root of 2668488432 is about 1387.0382622010.

The spelling of 2668488432 in words is "two billion, six hundred sixty-eight million, four hundred eighty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 61 62 93 122 124 183 186 244 248 366 372 488 496 732 744 976 1464 1488 1891 2928 3782 5673 7564 11346 15128 22692 29399 30256 45384 58798 88197 90768 117596 176394 235192 352788 470384 705576 911369 1411152 1793339 1822738 2734107 3586678 3645476 5380017 5468214 7173356 7290952 10760034 10936428 14346712 14581904 21520068 21872856 28693424 43040136 43745712 55593509 86080272 111187018 166780527 222374036 333561054 444748072 667122108 889496144 1334244216 2668488432