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4323916906848 = 253671117374389
BaseRepresentation
bin111110111010111101100…
…010000000000101100000
3120022100210012111111000000
4332322331202000011200
51031320340212004343
613110214025300000
7624251456201040
oct76727542000540
916270705444000
104323916906848
111417843407a90
1259a007034600
1325498894c416
1410d3c8a4b720
157771d1e4ed3
hex3eebd880160

4323916906848 has 2688 divisors, whose sum is σ = 17905367208960. Its totient is φ = 993257717760.

The previous prime is 4323916906847. The next prime is 4323916906849. The reversal of 4323916906848 is 8486096193234.

4323916906848 is a `hidden beast` number, since 432 + 3 + 9 + 16 + 90 + 68 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (4323916906847) and next prime (4323916906849).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4323916906843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 48583335988 + ... + 48583336076.

It is an arithmetic number, because the mean of its divisors is an integer number (6661222920).

Almost surely, 24323916906848 is an apocalyptic number.

4323916906848 is a gapful number since it is divisible by the number (48) 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 4323916906848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8952683604480).

4323916906848 is an abundant number, since it is smaller than the sum of its proper divisors (13581450302112).

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

4323916906848 is a wasteful number, since it uses less digits than its factorization.

4323916906848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 4323916906848 in words is "four trillion, three hundred twenty-three billion, nine hundred sixteen million, nine hundred six thousand, eight hundred forty-eight".