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2323017981025 = 527462212
BaseRepresentation
bin100001110011011110101…
…010010101110001100001
322020002010010011110121221
4201303132222111301201
5301030020100343100
64535102453215041
7326555360020000
oct41633652256141
98202103143557
102323017981025
118162060a89a5
12316272031481
1313b0a10a95a1
1480612a40c37
154066134e01a
hex21cdea95c61

2323017981025 has 45 divisors (see below), whose sum is σ = 3360972987353. Its totient is φ = 1592670559200.

The previous prime is 2323017981013. The next prime is 2323017981029. The reversal of 2323017981025 is 5201897103232.

The square root of 2323017981025 is 1524145.

It is a perfect power (a square), and thus also a powerful number.

2323017981025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1032485628769 + 1290532352256 = 1016113^2 + 1136016^2 .

It is not a de Polignac number, because 2323017981025 - 239 = 1773262167137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2323017981029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 373412415 + ... + 373418635.

Almost surely, 22323017981025 is an apocalyptic number.

2323017981025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2323017981025 is the 1524145-th square number.

2323017981025 is the 762073-rd centered octagonal number.

It is an amenable number.

2323017981025 is a deficient number, since it is larger than the sum of its proper divisors (1037955006328).

2323017981025 is an frugal number, since it uses more digits than its factorization.

2323017981025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12480 (or 6233 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 2323017981025 in words is "two trillion, three hundred twenty-three billion, seventeen million, nine hundred eighty-one thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 1225 1715 2401 6221 8575 12005 31105 43547 60025 155525 217735 304829 1088675 1524145 2133803 7620725 10669015 14936621 38700841 53345075 74683105 193504205 270905887 373415525 967521025 1354529435 1896341209 6772647175 9481706045 13274388463 47408530225 66371942315 92920719241 331859711575 464603596205 2323017981025