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1032552244000 = 25532053125737
BaseRepresentation
bin11110000011010001110…
…10001110001100100000
310122201012100012202102201
433001220322032030200
5113404131333302000
62110203054022544
7134412415155334
oct17015072161440
93581170182381
101032552244000
113689a2906692
121481477a7a54
13764a5352994
1437d938217c4
151bcd448a96a
hexf068e8e320

1032552244000 has 96 divisors (see below), whose sum is σ = 2538236793456. Its totient is φ = 412816435200.

The previous prime is 1032552243977. The next prime is 1032552244001. The reversal of 1032552244000 is 4422552301.

It can be written as a sum of positive squares in 8 ways, for example, as 80499308176 + 952052935824 = 283724^2 + 975732^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1032552244000.

It is not an unprimeable number, because it can be changed into a prime (1032552244001) 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 15 ways as a sum of consecutive naturals, for example, 8149132 + ... + 8274868.

Almost surely, 21032552244000 is an apocalyptic number.

1032552244000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032552244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269118396728).

1032552244000 is an abundant number, since it is smaller than the sum of its proper divisors (1505684549456).

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

1032552244000 is a wasteful number, since it uses less digits than its factorization.

1032552244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127815 (or 127797 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 1032552244000 its reverse (4422552301), we get a palindrome (1036974796301).

The spelling of 1032552244000 in words is "one trillion, thirty-two billion, five hundred fifty-two million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2053 4000 4106 8212 10265 16424 20530 32848 41060 51325 65696 82120 102650 125737 164240 205300 251474 256625 328480 410600 502948 513250 628685 821200 1005896 1026500 1257370 1642400 2011792 2053000 2514740 3143425 4023584 4106000 5029480 6286850 8212000 10058960 12573700 15717125 20117920 25147400 31434250 50294800 62868500 100589600 125737000 251474000 258138061 502948000 516276122 1032552244 1290690305 2065104488 2581380610 4130208976 5162761220 6453451525 8260417952 10325522440 12906903050 20651044880 25813806100 32267257625 41302089760 51627612200 64534515250 103255224400 129069030500 206510448800 258138061000 516276122000 1032552244000