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3684148417 = 101197185161
BaseRepresentation
bin1101101110010111…
…1010010011000001
3100111202101010112101
43123211322103001
530021120222132
61405324030401
7160203513325
oct33345722301
910452333471
103684148417
111620673264
12869992401
134693637a1
1426d415985
151686847e7
hexdb97a4c1

3684148417 has 8 divisors (see below), whose sum is σ = 3739531752. Its totient is φ = 3629136000.

The previous prime is 3684148399. The next prime is 3684148427. The reversal of 3684148417 is 7148414863.

It can be written as a sum of positive squares in 4 ways, for example, as 2319289281 + 1364859136 = 48159^2 + 36944^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3684148417 - 27 = 3684148289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3684148427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72684 + ... + 112477.

It is an arithmetic number, because the mean of its divisors is an integer number (467441469).

Almost surely, 23684148417 is an apocalyptic number.

It is an amenable number.

3684148417 is a deficient number, since it is larger than the sum of its proper divisors (55383335).

3684148417 is a wasteful number, since it uses less digits than its factorization.

3684148417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185459.

The product of its digits is 516096, while the sum is 46.

The square root of 3684148417 is about 60697.1862362663. The cubic root of 3684148417 is about 1544.4684432881.

It can be divided in two parts, 36841 and 48417, that added together give a palindrome (85258).

The spelling of 3684148417 in words is "three billion, six hundred eighty-four million, one hundred forty-eight thousand, four hundred seventeen".

Divisors: 1 101 197 19897 185161 18701261 36476717 3684148417