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4464285696 = 211321331601
BaseRepresentation
bin1000010100001011…
…11001100000000000
3102112010100012200200
410022011321200000
533120324120241
62014553045200
7215425542123
oct41205714000
912463305620
104464285696
111990a77a12
12a470b6800
13561b80890
14304c903ba
151b1dd64b6
hex10a179800

4464285696 has 288 divisors, whose sum is σ = 14357266560. Its totient is φ = 1327104000.

The previous prime is 4464285649. The next prime is 4464285703. The reversal of 4464285696 is 6965824644.

It is a tau number, because it is divible by the number of its divisors (288).

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, 7427796 + ... + 7428396.

It is an arithmetic number, because the mean of its divisors is an integer number (49851620).

Almost surely, 24464285696 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 4464285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7178633280).

4464285696 is an abundant number, since it is smaller than the sum of its proper divisors (9892980864).

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

4464285696 is a wasteful number, since it uses less digits than its factorization.

4464285696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 650 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 4464285696 is about 66815.3103412683. The cubic root of 4464285696 is about 1646.5843877727.

It can be divided in two parts, 4464 and 285696, that multiplied together give a square (1275346944 = 357122).

The spelling of 4464285696 in words is "four billion, four hundred sixty-four million, two hundred eighty-five thousand, six hundred ninety-six".