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5653280000 = 285489397
BaseRepresentation
bin1010100001111011…
…00011010100000000
3112120222122101020202
411100331203110000
543034214430000
62332545224332
7260044041614
oct52075432400
915528571222
105653280000
112441146a35
1211193320a8
136c12c07c4
143b8b57344
1523149add5
hex150f63500

5653280000 has 180 divisors, whose sum is σ = 14295439620. Its totient is φ = 2230272000.

The previous prime is 5653279993. The next prime is 5653280057. The reversal of 5653280000 is 823565.

It can be written as a sum of positive squares in 10 ways, for example, as 4702667776 + 950612224 = 68576^2 + 30832^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14239802 + ... + 14240198.

It is an arithmetic number, because the mean of its divisors is an integer number (79419109).

Almost surely, 25653280000 is an apocalyptic number.

5653280000 is a gapful number since it is divisible by the number (50) 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 5653280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147719810).

5653280000 is an abundant number, since it is smaller than the sum of its proper divisors (8642159620).

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

5653280000 is an frugal number, since it uses more digits than its factorization.

5653280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 5653280000 is about 75188.2969616948. The cubic root of 5653280000 is about 1781.4220845339.

The spelling of 5653280000 in words is "five billion, six hundred fifty-three million, two hundred eighty thousand".