Search a number
-
+
3244166418896 = 2413432129170371
BaseRepresentation
bin101111001101010111011…
…000110001000111010000
3102111010202112110111200222
4233031113120301013100
5411123023100401041
610522203253132212
7453245316400544
oct57152730610720
912433675414628
103244166418896
111040930406117
124448a892a068
131a6c01150350
14b3038a59a24
15595c534974b
hex2f3576311d0

3244166418896 has 80 divisors (see below), whose sum is σ = 6929792506560. Its totient is φ = 1461790955520.

The previous prime is 3244166418887. The next prime is 3244166418901. The reversal of 3244166418896 is 6988146614423.

3244166418896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18956591 + ... + 19126961.

It is an arithmetic number, because the mean of its divisors is an integer number (86622406332).

Almost surely, 23244166418896 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 3244166418896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464896253280).

3244166418896 is an abundant number, since it is smaller than the sum of its proper divisors (3685626087664).

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

3244166418896 is a wasteful number, since it uses less digits than its factorization.

3244166418896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172564 (or 172558 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 62.

The spelling of 3244166418896 in words is "three trillion, two hundred forty-four billion, one hundred sixty-six million, four hundred eighteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 344 559 688 1118 2129 2236 4258 4472 8516 8944 17032 27677 34064 55354 91547 110708 170371 183094 221416 340742 366188 442832 681484 732376 1190111 1362968 1464752 2214823 2380222 2725936 4429646 4760444 7325953 8859292 9520888 14651906 17718584 19041776 29303812 35437168 58607624 95237389 117215248 190474778 362719859 380949556 725439718 761899112 1450879436 1523798224 2901758872 4715358167 5803517744 9430716334 15596953937 18861432668 31193907874 37722865336 62387815748 75445730672 124775631496 202760401181 249551262992 405520802362 811041604724 1622083209448 3244166418896