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4282374096 = 2434711133301
BaseRepresentation
bin1111111100111111…
…1101011111010000
3102001110001010220000
43333033331133100
532232241432341
61544534050000
7211056402450
oct37717753720
912043033800
104282374096
1118a831a050
129b61a9900
1353328a890
142c8a59d60
151a0e518b6
hexff3fd7d0

4282374096 has 400 divisors, whose sum is σ = 16646517888. Its totient is φ = 1026432000.

The previous prime is 4282374091. The next prime is 4282374097. The reversal of 4282374096 is 6904732824.

4282374096 is a `hidden beast` number, since 4 + 2 + 8 + 237 + 409 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282374091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1295646 + ... + 1298946.

Almost surely, 24282374096 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 4282374096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323258944).

4282374096 is an abundant number, since it is smaller than the sum of its proper divisors (12364143792).

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

4282374096 is a wasteful number, since it uses less digits than its factorization.

4282374096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4282374096 is about 65439.8509778254. The cubic root of 4282374096 is about 1623.9084230112.

The spelling of 4282374096 in words is "four billion, two hundred eighty-two million, three hundred seventy-four thousand, ninety-six".