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2500812500 = 225640013
BaseRepresentation
bin1001010100001111…
…0101111011010100
320110021201102211012
42111003311323110
520110202000000
61052053031352
7115654361354
oct22503657324
96407642735
102500812500
11107370949a
12599625558
1330b155214
1419a1c2b64
15e983b735
hex950f5ed4

2500812500 has 42 divisors (see below), whose sum is σ = 5470594038. Its totient is φ = 1000300000.

The previous prime is 2500812497. The next prime is 2500812521. The reversal of 2500812500 is 52180052.

It can be written as a sum of positive squares in 7 ways, for example, as 2489211664 + 11600836 = 49892^2 + 3406^2 .

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 42494 + ... + 82506.

It is an arithmetic number, because the mean of its divisors is an integer number (130252239).

Almost surely, 22500812500 is an apocalyptic number.

2500812500 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 2500812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735297019).

2500812500 is an abundant number, since it is smaller than the sum of its proper divisors (2969781538).

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

2500812500 is an frugal number, since it uses more digits than its factorization.

2500812500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40047 (or 40020 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 2500812500 is about 50008.1243399510. The cubic root of 2500812500 is about 1357.3558233262.

Adding to 2500812500 its reverse (52180052), we get a palindrome (2552992552).

The spelling of 2500812500 in words is "two billion, five hundred million, eight hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 12500 15625 31250 40013 62500 80026 160052 200065 400130 800260 1000325 2000650 4001300 5001625 10003250 20006500 25008125 50016250 100032500 125040625 250081250 500162500 625203125 1250406250 2500812500