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4446099456 = 21132373431
BaseRepresentation
bin1000010010000001…
…00001100000000000
3102110212010020212020
410021000201200000
533101200140311
62013103201440
7215115136041
oct41100414000
912425106766
104446099456
111981786367
12a40ba6280
1355b183ba6
143026b88c8
151b04e2c06
hex109021800

4446099456 has 192 divisors, whose sum is σ = 12567260160. Its totient is φ = 1394933760.

The previous prime is 4446099443. The next prime is 4446099461. The reversal of 4446099456 is 6549906444.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 4446099399 and 4446099408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10315561 + ... + 10315991.

It is an arithmetic number, because the mean of its divisors is an integer number (65454480).

Almost surely, 24446099456 is an apocalyptic number.

4446099456 is a gapful number since it is divisible by the number (46) 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 4446099456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283630080).

4446099456 is an abundant number, since it is smaller than the sum of its proper divisors (8121160704).

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

4446099456 is a wasteful number, since it uses less digits than its factorization.

4446099456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The square root of 4446099456 is about 66679.0780980061. The cubic root of 4446099456 is about 1644.3454380346.

It can be divided in two parts, 44460 and 99456, that added together give a triangular number (143916 = T536).

The spelling of 4446099456 in words is "four billion, four hundred forty-six million, ninety-nine thousand, four hundred fifty-six".