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4525999882560 = 26365137012129
BaseRepresentation
bin100000111011100101010…
…0111011000000101000000
3121000200101201021022000000
41001313022213120011000
51043123221432220220
613343114325000000
7644664332145402
oct101671247300500
917020351238000
104525999882560
111495513a39712
12611204253000
1326aa526785b0
141190b9626b72
157cae946c390
hex41dca9d8140

4525999882560 has 784 divisors, whose sum is σ = 17434917012240. Its totient is φ = 1111980441600.

The previous prime is 4525999882507. The next prime is 4525999882567. The reversal of 4525999882560 is 652889995254.

4525999882560 is a `hidden beast` number, since 4 + 5 + 2 + 59 + 9 + 9 + 8 + 8 + 2 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 165955205376 + 4360044677184 = 407376^2 + 2088072^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4525999882567) 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 111 ways as a sum of consecutive naturals, for example, 2125879576 + ... + 2125881704.

Almost surely, 24525999882560 is an apocalyptic number.

4525999882560 is a gapful number since it is divisible by the number (40) 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 4525999882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717458506120).

4525999882560 is an abundant number, since it is smaller than the sum of its proper divisors (12908917129680).

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

4525999882560 is a wasteful number, since it uses less digits than its factorization.

4525999882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 4525999882560 in words is "four trillion, five hundred twenty-five billion, nine hundred ninety-nine million, eight hundred eighty-two thousand, five hundred sixty".