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2575144022000 = 245311231343261
BaseRepresentation
bin100101011110010010100…
…010110110111111110000
3100010011220012210101200112
4211132102202312333300
5314142343332201000
65251001013240452
7354022320012644
oct45362242667760
910104805711615
102575144022000
11903126737200
123570b6633128
13158ab1773294
148c8cd95ac24
1546ebab26235
hex257928b6ff0

2575144022000 has 240 divisors, whose sum is σ = 7065023976192. Its totient is φ = 906206400000.

The previous prime is 2575144021987. The next prime is 2575144022051. The reversal of 2575144022000 is 2204415752.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7330370 + ... + 7673630.

Almost surely, 22575144022000 is an apocalyptic number.

2575144022000 is a gapful number since it is divisible by the number (20) 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 2575144022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532511988096).

2575144022000 is an abundant number, since it is smaller than the sum of its proper divisors (4489879954192).

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

2575144022000 is a wasteful number, since it uses less digits than its factorization.

2575144022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343337 (or 343310 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

Adding to 2575144022000 its reverse (2204415752), we get a palindrome (2577348437752).

The spelling of 2575144022000 in words is "two trillion, five hundred seventy-five billion, one hundred forty-four million, twenty-two thousand".