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4473993216 = 21137311193
BaseRepresentation
bin1000010101010101…
…11011100000000000
3102112210121101220110
410022222323200000
533130320240331
62015541111320
7215604213000
oct41252734000
912483541813
104473993216
1119964a8360
12a4a3b8540
13563b9c284
1430629a000
151b2ba2946
hex10aabb800

4473993216 has 384 divisors, whose sum is σ = 15253056000. Its totient is φ = 1156055040.

The previous prime is 4473993197. The next prime is 4473993229. The reversal of 4473993216 is 6123993744.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (979776) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23181216 + ... + 23181408.

It is an arithmetic number, because the mean of its divisors is an integer number (39721500).

Almost surely, 24473993216 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 4473993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7626528000).

4473993216 is an abundant number, since it is smaller than the sum of its proper divisors (10779062784).

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

4473993216 is a wasteful number, since it uses less digits than its factorization.

4473993216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 216 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 4473993216 is about 66887.9153210802. The cubic root of 4473993216 is about 1647.7770144775. Note that the first 3 decimals are identical.

The spelling of 4473993216 in words is "four billion, four hundred seventy-three million, nine hundred ninety-three thousand, two hundred sixteen".