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2125424512 = 27195991459
BaseRepresentation
bin111111010101111…
…0110011110000000
312111010100202022101
41332223312132000
513323102041022
6550523120144
7103445544631
oct17653663600
95433322271
102125424512
119a0823992
124b3973054
1327b450353
141623c7888
15c68da627
hex7eaf6780

2125424512 has 64 divisors (see below), whose sum is σ = 4467600000. Its totient is φ = 1004410368.

The previous prime is 2125424501. The next prime is 2125424513. The reversal of 2125424512 is 2154245212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125424513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1456039 + ... + 1457497.

It is an arithmetic number, because the mean of its divisors is an integer number (69806250).

Almost surely, 22125424512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125424512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233800000).

2125424512 is an abundant number, since it is smaller than the sum of its proper divisors (2342175488).

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

2125424512 is a wasteful number, since it uses less digits than its factorization.

2125424512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2079 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 2125424512 is about 46102.3265356533. The cubic root of 2125424512 is about 1285.7264006007.

Adding to 2125424512 its reverse (2154245212), we get a palindrome (4279669724).

The spelling of 2125424512 in words is "two billion, one hundred twenty-five million, four hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 599 608 1198 1216 1459 2396 2432 2918 4792 5836 9584 11381 11672 19168 22762 23344 27721 38336 45524 46688 55442 76672 91048 93376 110884 182096 186752 221768 364192 443536 728384 873941 887072 1456768 1747882 1774144 3495764 3548288 6991528 13983056 16604879 27966112 33209758 55932224 66419516 111864448 132839032 265678064 531356128 1062712256 2125424512