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4101725025 = 325271972647
BaseRepresentation
bin1111010001111011…
…0101101101100001
3101120212010012221200
43310132311231201
531400020200100
61515002111413
7203434041666
oct36436655541
911525105850
104101725025
1118153537a2
129657ab569
13504a1a438
142aca73a6d
1519016ae00
hexf47b5b61

4101725025 has 72 divisors (see below), whose sum is σ = 7529768064. Its totient is φ = 2133734400.

The previous prime is 4101725011. The next prime is 4101725029. The reversal of 4101725025 is 5205271014.

4101725025 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4101725025 - 27 = 4101724897 is a prime.

It is a super-2 number, since 2×41017250252 = 33648296361422501250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4101725025.

It is not an unprimeable number, because it can be changed into a prime (4101725029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1548252 + ... + 1550898.

It is an arithmetic number, because the mean of its divisors is an integer number (104580112).

Almost surely, 24101725025 is an apocalyptic number.

4101725025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4101725025 is a deficient number, since it is larger than the sum of its proper divisors (3428043039).

4101725025 is a wasteful number, since it uses less digits than its factorization.

4101725025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 4101725025 is about 64044.7111399528. The cubic root of 4101725025 is about 1600.7450989269.

Adding to 4101725025 its reverse (5205271014), we get a palindrome (9306996039).

The spelling of 4101725025 in words is "four billion, one hundred one million, seven hundred twenty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 71 75 97 213 225 291 355 485 639 873 1065 1455 1775 2425 2647 3195 4365 5325 6887 7275 7941 13235 15975 20661 21825 23823 34435 39705 61983 66175 103305 119115 172175 187937 198525 256759 309915 516525 563811 595575 770277 939685 1283795 1549575 1691433 2310831 2819055 3851385 4698425 6418975 8457165 11554155 14095275 18229889 19256925 42285825 54689667 57770775 91149445 164069001 273448335 455747225 820345005 1367241675 4101725025