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2025050000000 = 2758101401
BaseRepresentation
bin11101011101111110011…
…000101100101010000000
321011121000012211200212212
4131131332120230222000
5231134300300000000
64150143425241252
7266206424664026
oct35357630545200
97147005750785
102025050000000
11710900a28625
12288575193228
13118c66255c91
1470027730716
1537a22279c35
hex1d77e62ca80

2025050000000 has 288 divisors, whose sum is σ = 5105475901620. Its totient is φ = 800000000000.

The previous prime is 2025049999969. The next prime is 2025050000119. The reversal of 2025050000000 is 505202.

It can be written as a sum of positive squares in 18 ways, for example, as 2015650309696 + 9399690304 = 1419736^2 + 96952^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2025050000000.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5049999800 + ... + 5050000200.

Almost surely, 22025050000000 is an apocalyptic number.

2025050000000 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 2025050000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552737950810).

2025050000000 is an abundant number, since it is smaller than the sum of its proper divisors (3080425901620).

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

2025050000000 is an frugal number, since it uses more digits than its factorization.

2025050000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

Adding to 2025050000000 its reverse (505202), we get a palindrome (2025050505202).

It can be divided in two parts, 202 and 5050000000, that multiplied together give a square (1020100000000 = 10100002).

The spelling of 2025050000000 in words is "two trillion, twenty-five billion, fifty million", and thus it is an aban number and an uban number.