Search a number
-
+
264364436754 = 232116719927969
BaseRepresentation
bin1111011000110101011…
…0010010110100010010
3221021101000022211221100
43312031112102310102
513312404243434004
6321240343205230
725046124431055
oct3661526226422
9837330284840
10264364436754
11a2130918190
124329b146816
131bc1103a102
14cb1c472a9c
156d23e38739
hex3d8d592d12

264364436754 has 48 divisors (see below), whose sum is σ = 634187717280. Its totient is φ = 78914753280.

The previous prime is 264364436717. The next prime is 264364436783. The reversal of 264364436754 is 457634463462.

264364436754 is a `hidden beast` number, since 2 + 64 + 36 + 443 + 67 + 54 = 666.

264364436754 is digitally balanced in base 2 and base 3, because in such bases 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 264364436754.

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 23 ways as a sum of consecutive naturals, for example, 9950719 + ... + 9977250.

It is an arithmetic number, because the mean of its divisors is an integer number (13212244110).

Almost surely, 2264364436754 is an apocalyptic number.

264364436754 is an abundant number, since it is smaller than the sum of its proper divisors (369823280526).

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

264364436754 is a wasteful number, since it uses less digits than its factorization.

264364436754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19928055 (or 19928052 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 54.

The spelling of 264364436754 in words is "two hundred sixty-four billion, three hundred sixty-four million, four hundred thirty-six thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 402 603 737 1206 1474 2211 4422 6633 13266 19927969 39855938 59783907 119567814 179351721 219207659 358703442 438415318 657622977 1315245954 1335173923 1972868931 2670347846 3945737862 4005521769 8011043538 12016565307 14686913153 24033130614 29373826306 44060739459 88121478918 132182218377 264364436754