Search a number
-
+
1448365046656 = 27115691807853
BaseRepresentation
bin10101000100111001010…
…010001011101110000000
312010110111001100201202011
4111010321102023232000
5142212222422443111
63025211505302304
7206432556523663
oct25047122135600
95113431321664
101448365046656
11509280345730
121b4852634994
13a6770a23388
145015bb476da
1527a1e1ee021
hex1513948bb80

1448365046656 has 64 divisors (see below), whose sum is σ = 3153258946800. Its totient is φ = 657190359040.

The previous prime is 1448365046647. The next prime is 1448365046663. The reversal of 1448365046656 is 6566405638441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×14483650466562 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1448365046656.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 102775 + ... + 1705078.

Almost surely, 21448365046656 is an apocalyptic number.

1448365046656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1448365046656 is an abundant number, since it is smaller than the sum of its proper divisors (1704893900144).

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

1448365046656 is a wasteful number, since it uses less digits than its factorization.

1448365046656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808447 (or 1808435 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 58.

The spelling of 1448365046656 in words is "one trillion, four hundred forty-eight billion, three hundred sixty-five million, forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 569 704 1138 1408 2276 4552 6259 9104 12518 18208 25036 36416 50072 72832 100144 200288 400576 801152 1807853 3615706 7231412 14462824 19886383 28925648 39772766 57851296 79545532 115702592 159091064 231405184 318182128 636364256 1028668357 1272728512 2057336714 2545457024 4114673428 8229346856 11315351927 16458693712 22630703854 32917387424 45261407708 65834774848 90522815416 131669549696 181045630832 362091261664 724182523328 1448365046656