Search a number
-
+
4069325205504 = 2123413171923127
BaseRepresentation
bin111011001101110110101…
…011101111000000000000
3112102000122021022000210000
4323031312223233000000
51013132434223034004
612353231105440000
7566666446350636
oct73156653570000
915360567260700
104069325205504
111329877a9a639
125587b4940000
132369744ba5b0
14100d5649d356
1570cbc226c39
hex3b376aef000

4069325205504 has 2080 divisors, whose sum is σ = 15345252679680. Its totient is φ = 1059474898944.

The previous prime is 4069325205479. The next prime is 4069325205511. The reversal of 4069325205504 is 4055025239604.

4069325205504 is a `hidden beast` number, since 4 + 0 + 6 + 93 + 2 + 5 + 2 + 0 + 550 + 4 = 666.

4069325205504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4069325205504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32041930689 + ... + 32041930815.

Almost surely, 24069325205504 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 4069325205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672626339840).

4069325205504 is an abundant number, since it is smaller than the sum of its proper divisors (11275927474176).

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

4069325205504 is a wasteful number, since it uses less digits than its factorization.

4069325205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 4069325205504 in words is "four trillion, sixty-nine billion, three hundred twenty-five million, two hundred five thousand, five hundred four".