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2632120625 = 5417247729
BaseRepresentation
bin1001110011100010…
…1111100100110001
320210102210120201002
42130320233210301
520342310330000
61113103251345
7122140441031
oct23470574461
96712716632
102632120625
111130844202
126155a9b55
1332c40b234
141ad8038c1
151061278d5
hex9ce2f931

2632120625 has 20 divisors (see below), whose sum is σ = 3482588340. Its totient is φ = 1981824000.

The previous prime is 2632120619. The next prime is 2632120637. The reversal of 2632120625 is 5260212362.

It can be written as a sum of positive squares in 10 ways, for example, as 922215424 + 1709905201 = 30368^2 + 41351^2 .

It is not a de Polignac number, because 2632120625 - 216 = 2632055089 is a prime.

It is a super-3 number, since 3×26321206253 (a number of 29 digits) contains 333 as substring.

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 19 ways as a sum of consecutive naturals, for example, 113240 + ... + 134489.

It is an arithmetic number, because the mean of its divisors is an integer number (174129417).

Almost surely, 22632120625 is an apocalyptic number.

2632120625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2632120625 is a deficient number, since it is larger than the sum of its proper divisors (850467715).

2632120625 is an equidigital number, since it uses as much as digits as its factorization.

2632120625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247766 (or 247751 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2632120625 is about 51304.1969530759. The cubic root of 2632120625 is about 1380.7082804326.

Adding to 2632120625 its reverse (5260212362), we get a palindrome (7892332987).

The spelling of 2632120625 in words is "two billion, six hundred thirty-two million, one hundred twenty thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 625 2125 10625 247729 1238645 4211393 6193225 21056965 30966125 105284825 154830625 526424125 2632120625