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264424020448 = 2571769439081
BaseRepresentation
bin1111011001000011100…
…1100101100111100000
3221021112011110000101211
43312100321211213200
513313020022123243
6321250312235504
725050450042340
oct3662071454740
9837464400354
10264424020448
11a2161514305
12432b709bb94
131bc2049c733
14cb26342d20
156d292a7d9d
hex3d90e659e0

264424020448 has 48 divisors (see below), whose sum is σ = 629951351904. Its totient is φ = 106658426880.

The previous prime is 264424020437. The next prime is 264424020451. The reversal of 264424020448 is 844020424462.

It is a happy number.

264424020448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 264424020448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34715733 + ... + 34723348.

It is an arithmetic number, because the mean of its divisors is an integer number (13123986498).

Almost surely, 2264424020448 is an apocalyptic number.

264424020448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

264424020448 is an abundant number, since it is smaller than the sum of its proper divisors (365527331456).

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

264424020448 is a wasteful number, since it uses less digits than its factorization.

264424020448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69439115 (or 69439107 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

The spelling of 264424020448 in words is "two hundred sixty-four billion, four hundred twenty-four million, twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 69439081 138878162 277756324 486073567 555512648 972147134 1111025296 1180464377 1944294268 2222050592 2360928754 3888588536 4721857508 7777177072 8263250639 9443715016 15554354144 16526501278 18887430032 33053002556 37774860064 66106005112 132212010224 264424020448