Search a number
-
+
453734896296 = 233112751208049
BaseRepresentation
bin1101001101001001011…
…01010001001010101000
31121101011120020221011010
412212210231101022220
524413222113140141
6544235401303520
744531654661153
oct6464455211250
91541146227133
10453734896296
1116547857a300
1273b2aa94ba0
1333a300cc476
1417d64958c9a
15bc090e9416
hex69a4b512a8

453734896296 has 96 divisors (see below), whose sum is σ = 1248499728000. Its totient is φ = 137311680000.

The previous prime is 453734896229. The next prime is 453734896327. The reversal of 453734896296 is 692698437354.

It is a super-2 number, since 2×4537348962962 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2076880 + ... + 2284928.

It is an arithmetic number, because the mean of its divisors is an integer number (13005205500).

Almost surely, 2453734896296 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 453734896296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624249864000).

453734896296 is an abundant number, since it is smaller than the sum of its proper divisors (794764831704).

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

453734896296 is a wasteful number, since it uses less digits than its factorization.

453734896296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208831 (or 208816 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 66.

The spelling of 453734896296 in words is "four hundred fifty-three billion, seven hundred thirty-four million, eight hundred ninety-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 751 968 1452 1502 2253 2904 3004 4506 6008 8261 9012 16522 18024 24783 33044 49566 66088 90871 99132 181742 198264 208049 272613 363484 416098 545226 624147 726968 832196 1090452 1248294 1664392 2180904 2288539 2496588 4577078 4993176 6865617 9154156 13731234 18308312 25173929 27462468 50347858 54924936 75521787 100695716 151043574 156244799 201391432 302087148 312489598 468734397 604174296 624979196 937468794 1249958392 1718692789 1874937588 3437385578 3749875176 5156078367 6874771156 10312156734 13749542312 18905620679 20624313468 37811241358 41248626936 56716862037 75622482716 113433724074 151244965432 226867448148 453734896296