Search a number
-
+
3472212305856 = 263731431938103
BaseRepresentation
bin110010100001101111111…
…110110010011111000000
3110021221101110000212102110
4302201233332302133000
5423342042322241411
611215040132015320
7505600441426050
oct62415776623700
913257343025373
103472212305856
111119614365298
12480b30a61540
131c2574a354b8
14c00ad833560
15604c0a9b2a6
hex3286ffb27c0

3472212305856 has 224 divisors, whose sum is σ = 11090048155648. Its totient is φ = 937731271680.

The previous prime is 3472212305851. The next prime is 3472212305873. The reversal of 3472212305856 is 6585032122743.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3472212305851) 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 31 ways as a sum of consecutive naturals, for example, 822501 + ... + 2760603.

It is an arithmetic number, because the mean of its divisors is an integer number (49509143552).

Almost surely, 23472212305856 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 3472212305856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545024077824).

3472212305856 is an abundant number, since it is smaller than the sum of its proper divisors (7617835849792).

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

3472212305856 is a wasteful number, since it uses less digits than its factorization.

3472212305856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938199 (or 1938189 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 3472212305856 in words is "three trillion, four hundred seventy-two billion, two hundred twelve million, three hundred five thousand, eight hundred fifty-six".