Search a number
-
+
9969433668481 = 7271263532
BaseRepresentation
bin1001000100010011000010…
…0011010110101110000001
31022022001211222021201122211
42101010300203112232001
52301314400004342411
633111521122302121
72046160600664200
oct221046043265601
938261758251584
109969433668481
1131a4016448811
1211501871b7941
13574162655521
142667477c3237
151244db74c221
hex911308d6b81

9969433668481 has 27 divisors (see below), whose sum is σ = 11764588063683. Its totient is φ = 8423547397440.

The previous prime is 9969433668479. The next prime is 9969433668497. The reversal of 9969433668481 is 1848663349699.

The square root of 9969433668481 is 3157441.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4577823972225 + 5391609696256 = 2139585^2 + 2321984^2 .

It is not a de Polignac number, because 9969433668481 - 21 = 9969433668479 is a prime.

It is a super-2 number, since 2×99694336684812 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9969433668398 and 9969433668407.

It is not an unprimeable number, because it can be changed into a prime (9969433668451) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1569245001 + ... + 1569251353.

Almost surely, 29969433668481 is an apocalyptic number.

9969433668481 is the 3157441-st square number.

9969433668481 is the 1578721-st centered octagonal number.

It is an amenable number.

9969433668481 is a deficient number, since it is larger than the sum of its proper divisors (1795154395202).

9969433668481 is an frugal number, since it uses more digits than its factorization.

9969433668481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12862 (or 6431 counting only the distinct ones).

The product of its digits is 1451188224, while the sum is 76.

The spelling of 9969433668481 in words is "nine trillion, nine hundred sixty-nine billion, four hundred thirty-three million, six hundred sixty-eight thousand, four hundred eighty-one".

Divisors: 1 7 49 71 497 3479 5041 6353 35287 44471 247009 311297 451063 3157441 22102087 32025473 40360609 224178311 282524263 1569248177 1977669841 2865603239 20059222673 140414558711 203457829969 1424204809783 9969433668481