Search a number
-
+
1006066710445 = 52774571589501
BaseRepresentation
bin11101010001111100011…
…11111011011110101101
310120011211112000020200111
432220332033323132231
5112440411034213240
62050103005100021
7132454161640336
oct16507617733655
93504745006614
101006066710445
11358741480285
12142b95857611
1373b44120a34
14369a005d28d
151b28417a1ea
hexea3e3fb7ad

1006066710445 has 16 divisors (see below), whose sum is σ = 1214290515888. Its totient is φ = 800192448000.

The previous prime is 1006066710433. The next prime is 1006066710469. The reversal of 1006066710445 is 5440176606001.

It can be written as a sum of positive squares in 8 ways, for example, as 132249322921 + 873817387524 = 363661^2 + 934782^2 .

It is not a de Polignac number, because 1006066710445 - 27 = 1006066710317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006066710398 and 1006066710407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161806 + ... + 1427695.

It is an arithmetic number, because the mean of its divisors is an integer number (75893157243).

Almost surely, 21006066710445 is an apocalyptic number.

It is an amenable number.

1006066710445 is a deficient number, since it is larger than the sum of its proper divisors (208223805443).

1006066710445 is a wasteful number, since it uses less digits than its factorization.

1006066710445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590240.

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 1006066710445 in words is "one trillion, six billion, sixty-six million, seven hundred ten thousand, four hundred forty-five".

Divisors: 1 5 277 457 1385 2285 126589 632945 1589501 7947505 440291777 726401957 2201458885 3632009785 201213342089 1006066710445