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4450783680 = 263357210513
BaseRepresentation
bin1000010010100100…
…11001000111000000
3102111011221020102000
410021102121013000
533103400034210
62013351424000
7215203015500
oct41122310700
912434836360
104450783680
111984395722
12a42685000
1355c134015
14303177a00
151b0b1aac0
hex1094991c0

4450783680 has 336 divisors, whose sum is σ = 18266603040. Its totient is φ = 1017225216.

The previous prime is 4450783657. The next prime is 4450783681. The reversal of 4450783680 is 863870544.

4450783680 is a `hidden beast` number, since 4 + 4 + 507 + 83 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4450783681) 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 47 ways as a sum of consecutive naturals, for example, 418104 + ... + 428616.

It is an arithmetic number, because the mean of its divisors is an integer number (54364890).

Almost surely, 24450783680 is an apocalyptic number.

4450783680 is a gapful number since it is divisible by the number (40) 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 4450783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133301520).

4450783680 is an abundant number, since it is smaller than the sum of its proper divisors (13815819360).

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

4450783680 is a wasteful number, since it uses less digits than its factorization.

4450783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10553 (or 10530 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4450783680 is about 66714.1939919834. The cubic root of 4450783680 is about 1644.9227064935.

The spelling of 4450783680 in words is "four billion, four hundred fifty million, seven hundred eighty-three thousand, six hundred eighty".