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4094002922976 = 253337612127271
BaseRepresentation
bin111011100100110101100…
…101110000010111100000
3112111101100002202222002000
4323210311211300113200
51014034004222013401
612412431534524000
7601532131446051
oct73446545602740
915441302688060
104094002922976
111339290a12a6a
12561541366600
132390a8023995
14102217b12728
1571763988186
hex3b9359705e0

4094002922976 has 576 divisors, whose sum is σ = 12612446945280. Its totient is φ = 1290952857600.

The previous prime is 4094002922953. The next prime is 4094002923011. The reversal of 4094002922976 is 6792292004904.

4094002922976 is a `hidden beast` number, since 4 + 0 + 9 + 400 + 2 + 9 + 229 + 7 + 6 = 666.

4094002922976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15107021721 + ... + 15107021991.

It is an arithmetic number, because the mean of its divisors is an integer number (21896609280).

Almost surely, 24094002922976 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 4094002922976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306223472640).

4094002922976 is an abundant number, since it is smaller than the sum of its proper divisors (8518444022304).

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

4094002922976 is a wasteful number, since it uses less digits than its factorization.

4094002922976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 4094002922976 in words is "four trillion, ninety-four billion, two million, nine hundred twenty-two thousand, nine hundred seventy-six".