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5103673600 = 2852192472
BaseRepresentation
bin1001100000011001…
…11110000100000000
3111011200110111000011
410300030332010000
540423020023400
62202233234304
7240321336604
oct46014760400
914150414004
105103673600
112189988573
12ba5262994
1363448a50c
14365b6b504
151ed0d48ba
hex13033e100

5103673600 has 243 divisors, whose sum is σ = 13621945197. Its totient is φ = 1892874240.

The previous prime is 5103673579. The next prime is 5103673609. The reversal of 5103673600 is 63763015.

The square root of 5103673600 is 71440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1837322496 + 3266351104 = 42864^2 + 57152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5103673609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108588777 + ... + 108588823.

Almost surely, 25103673600 is an apocalyptic number.

5103673600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5103673600 is the 71440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5103673600

5103673600 is an abundant number, since it is smaller than the sum of its proper divisors (8518271597).

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

5103673600 is an equidigital number, since it uses as much as digits as its factorization.

5103673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The cubic root of 5103673600 is about 1721.7138136869.

The spelling of 5103673600 in words is "five billion, one hundred three million, six hundred seventy-three thousand, six hundred".