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4101730000 = 2454410173
BaseRepresentation
bin1111010001111011…
…0110111011010000
3101120212010110202221
43310132312323100
531400020330000
61515002150424
7203434062334
oct36436667320
911525113687
104101730000
111815357505
129657b2414
13504a1c794
142aca757c4
1519016c61a
hexf47b6ed0

4101730000 has 50 divisors (see below), whose sum is σ = 9930722714. Its totient is φ = 1640688000.

The previous prime is 4101729971. The next prime is 4101730021. The reversal of 4101730000 is 371014.

It can be written as a sum of positive squares in 5 ways, for example, as 2576983696 + 1524746304 = 50764^2 + 39048^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 195087 + ... + 215086.

Almost surely, 24101730000 is an apocalyptic number.

4101730000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101730000 is an abundant number, since it is smaller than the sum of its proper divisors (5828992714).

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

4101730000 is an equidigital number, since it uses as much as digits as its factorization.

4101730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410201 (or 410180 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 4101730000 is about 64044.7499799945. The cubic root of 4101730000 is about 1600.7457461102.

It can be divided in two parts, 41017 and 30000, that added together give a palindrome (71017).

The spelling of 4101730000 in words is "four billion, one hundred one million, seven hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 410173 820346 1640692 2050865 3281384 4101730 6562768 8203460 10254325 16406920 20508650 32813840 41017300 51271625 82034600 102543250 164069200 205086500 256358125 410173000 512716250 820346000 1025432500 2050865000 4101730000