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4394857680 = 2432517221121
BaseRepresentation
bin1000001011111010…
…00011010011010000
3102100021200220100200
410011331003103100
533000040421210
62004033015200
7213623450103
oct40575032320
912307626320
104394857680
111955867694
12a279b4500
13550682505
142d997a73a
151aac700c0
hex105f434d0

4394857680 has 180 divisors, whose sum is σ = 15679409772. Its totient is φ = 1102970880.

The previous prime is 4394857651. The next prime is 4394857711. The reversal of 4394857680 is 867584934.

It can be written as a sum of positive squares in 6 ways, for example, as 504092304 + 3890765376 = 22452^2 + 62376^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 197520 + ... + 218640.

Almost surely, 24394857680 is an apocalyptic number.

4394857680 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 4394857680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7839704886).

4394857680 is an abundant number, since it is smaller than the sum of its proper divisors (11284552092).

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

4394857680 is a wasteful number, since it uses less digits than its factorization.

4394857680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21174 (or 21148 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 4394857680 is about 66293.7227797625. The cubic root of 4394857680 is about 1638.0039268736.

The spelling of 4394857680 in words is "four billion, three hundred ninety-four million, eight hundred fifty-seven thousand, six hundred eighty".