Search a number
-
+
4054690026864 = 2432194197372637
BaseRepresentation
bin111011000000001110010…
…110111101010101110000
3112100121212022121220220200
4323000032112331111300
51012413001121324424
612342410543035200
7565640666365431
oct73001626752560
915317768556820
104054690026864
1113236478a6284
125559ab59bb00
13235481416989
141003688c3488
15707124778c9
hex3b00e5bd570

4054690026864 has 240 divisors, whose sum is σ = 12362250744480. Its totient is φ = 1236316815360.

The previous prime is 4054690026811. The next prime is 4054690026869. The reversal of 4054690026864 is 4686200964504.

4054690026864 is a `hidden beast` number, since 4 + 0 + 546 + 90 + 0 + 2 + 6 + 8 + 6 + 4 = 666.

4054690026864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40546900268642 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4054690026864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054690026869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10694754 + ... + 11067390.

It is an arithmetic number, because the mean of its divisors is an integer number (51509378102).

Almost surely, 24054690026864 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 4054690026864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181125372240).

4054690026864 is an abundant number, since it is smaller than the sum of its proper divisors (8307560717616).

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

4054690026864 is a wasteful number, since it uses less digits than its factorization.

4054690026864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372808 (or 372799 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4054690026864 in words is "four trillion, fifty-four billion, six hundred ninety million, twenty-six thousand, eight hundred sixty-four".