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6104140641 = 3486812
BaseRepresentation
bin1011010111101010…
…11100101101100001
3120202102000110210000
411223311130231201
5100000130000031
62445412530213
7304160224254
oct55365345541
916672013700
106104140641
1126526a0235
121224320969
1376382c151
1441c99b09b
1525ad593e6
hex16bd5cb61

6104140641 has 15 divisors (see below), whose sum is σ = 9119581603. Its totient is φ = 4068958320.

The previous prime is 6104140633. The next prime is 6104140643. The reversal of 6104140641 is 1460414016.

The square root of 6104140641 is 78129.

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

6104140641 is a `hidden beast` number, since 6 + 1 + 0 + 4 + 14 + 0 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5030923041 + 1073217600 = 70929^2 + 32760^2 .

It is not a de Polignac number, because 6104140641 - 23 = 6104140633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6104140643) 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 14 ways as a sum of consecutive naturals, for example, 698821 + ... + 707501.

Almost surely, 26104140641 is an apocalyptic number.

6104140641 is the 78129-th square number.

6104140641 is the 39065-th centered octagonal number.

It is an amenable number.

6104140641 is a deficient number, since it is larger than the sum of its proper divisors (3015440962).

6104140641 is an frugal number, since it uses more digits than its factorization.

6104140641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17374 (or 8684 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 6104140641 is about 1827.5734648958.

Multiplying 6104140641 by its product of nonzero digits (2304), we get a square (14063940036864 = 37501922).

Adding to 6104140641 its reverse (1460414016), we get a palindrome (7564554657).

The spelling of 6104140641 in words is "six billion, one hundred four million, one hundred forty thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 8681 26043 78129 234387 703161 75359761 226079283 678237849 2034713547 6104140641