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4943193696 = 253372591979
BaseRepresentation
bin1001001101010001…
…10010011001100000
3110202111111020222000
410212220302121200
540110424144241
62134301444000
7233332311300
oct44650623140
913674436860
104943193696
112107338651
12b5b570600
1360a15c4ac
1434c715600
151dde84eb6
hex126a32660

4943193696 has 288 divisors, whose sum is σ = 17064432000. Its totient is φ = 1387701504.

The previous prime is 4943193667. The next prime is 4943193719. The reversal of 4943193696 is 6963913494.

4943193696 is a `hidden beast` number, since 494 + 3 + 1 + 93 + 69 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2496835 + ... + 2498813.

It is an arithmetic number, because the mean of its divisors is an integer number (59251500).

Almost surely, 24943193696 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 4943193696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8532216000).

4943193696 is an abundant number, since it is smaller than the sum of its proper divisors (12121238304).

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

4943193696 is a wasteful number, since it uses less digits than its factorization.

4943193696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2050 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 4943193696 is about 70307.8494622044. The cubic root of 4943193696 is about 1703.4754386143.

The spelling of 4943193696 in words is "four billion, nine hundred forty-three million, one hundred ninety-three thousand, six hundred ninety-six".