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4053323848896 = 2632710125738729
BaseRepresentation
bin111010111110111100111…
…011011001110011000000
3112100111100002220220001200
4322332330323121303000
51012402201401131041
612342023221101200
7565562100150330
oct72767473316300
915314302826050
104053323848896
111323006708583
12555689b57800
132352c437aa4a
141002792970c0
15706825641b6
hex3afbced9cc0

4053323848896 has 336 divisors, whose sum is σ = 13461840325440. Its totient is φ = 1142135193600.

The previous prime is 4053323848883. The next prime is 4053323848909. The reversal of 4053323848896 is 6988483233504.

It is a happy number.

4053323848896 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 32 + 38 + 488 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (4053323848883) and next prime (4053323848909).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104639260 + ... + 104677988.

Almost surely, 24053323848896 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 4053323848896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730920162720).

4053323848896 is an abundant number, since it is smaller than the sum of its proper divisors (9408516476544).

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

4053323848896 is a wasteful number, since it uses less digits than its factorization.

4053323848896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39112 (or 39099 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 4053323848896 in words is "four trillion, fifty-three billion, three hundred twenty-three million, eight hundred forty-eight thousand, eight hundred ninety-six".