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2453312500 = 2256172309
BaseRepresentation
bin1001001000111010…
…1001001111110100
320022222100012001221
42102032221033310
520011022000000
61043235000124
7114536545402
oct22216511764
96288305057
102453312500
111049915aa1
12585739044
13301363a02
14193b7a472
15e55a761a
hex923a93f4

2453312500 has 84 divisors (see below), whose sum is σ = 5684692860. Its totient is φ = 923200000.

The previous prime is 2453312489. The next prime is 2453312513. The reversal of 2453312500 is 52133542.

2453312500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 2431278864 + 22033636 = 49308^2 + 4694^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1061346 + ... + 1063654.

It is an arithmetic number, because the mean of its divisors is an integer number (67674915).

Almost surely, 22453312500 is an apocalyptic number.

2453312500 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 2453312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842346430).

2453312500 is an abundant number, since it is smaller than the sum of its proper divisors (3231380360).

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

2453312500 is an equidigital number, since it uses as much as digits as its factorization.

2453312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2453312500 is about 49530.9246834743. The cubic root of 2453312500 is about 1348.7070382393.

The spelling of 2453312500 in words is "two billion, four hundred fifty-three million, three hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 625 850 1250 1700 2125 2309 2500 3125 4250 4618 6250 8500 9236 10625 11545 12500 15625 21250 23090 31250 39253 42500 46180 53125 57725 62500 78506 106250 115450 157012 196265 212500 230900 265625 288625 392530 531250 577250 785060 981325 1062500 1154500 1443125 1962650 2886250 3925300 4906625 5772500 7215625 9813250 14431250 19626500 24533125 28862500 36078125 49066250 72156250 98132500 122665625 144312500 245331250 490662500 613328125 1226656250 2453312500