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48922804224 = 21433723761
BaseRepresentation
bin101101100100000001…
…101100000000000000
311200021111212221211000
4231210001230000000
51300143214213344
634250321252000
73351231655200
oct554401540000
9150244787730
1048922804224
1119825713a08
129594194000
1347c8844988
14252164a400
151415015a69
hexb6406c000

48922804224 has 720 divisors, whose sum is σ = 176013838560. Its totient is φ = 13377208320.

The previous prime is 48922804223. The next prime is 48922804247. The reversal of 48922804224 is 42240822984.

It is a Cunningham number, because it is equal to 2211852-1.

It is a self number, because there is not a number n which added to its sum of digits gives 48922804224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48922804223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802013154 + ... + 802013214.

Almost surely, 248922804224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48922804224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88006919280).

48922804224 is an abundant number, since it is smaller than the sum of its proper divisors (127091034336).

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

48922804224 is an equidigital number, since it uses as much as digits as its factorization.

48922804224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 48922804224 in words is "forty-eight billion, nine hundred twenty-two million, eight hundred four thousand, two hundred twenty-four".