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4435382016 = 28331323797
BaseRepresentation
bin1000010000101111…
…01000111100000000
3102110002221202022000
410020113220330000
533040424211031
62012041344000
7214625060622
oct41027507400
912402852260
104435382016
11197672617a
12a39498000
13558ba0900
143010c8c12
151ae5c73e6
hex1085e8f00

4435382016 has 216 divisors, whose sum is σ = 14206494960. Its totient is φ = 1364373504.

The previous prime is 4435381969. The next prime is 4435382023. The reversal of 4435382016 is 6102835344.

4435382016 is a `hidden beast` number, since 443 + 5 + 3 + 8 + 201 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×44353820162 = 39345227255712448512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1166230 + ... + 1170026.

It is an arithmetic number, because the mean of its divisors is an integer number (65770810).

Almost surely, 24435382016 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 4435382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103247480).

4435382016 is an abundant number, since it is smaller than the sum of its proper divisors (9771112944).

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

4435382016 is a wasteful number, since it uses less digits than its factorization.

4435382016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4435382016 is about 66598.6637703791. The cubic root of 4435382016 is about 1643.0231289624.

The spelling of 4435382016 in words is "four billion, four hundred thirty-five million, three hundred eighty-two thousand, sixteen".