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6107578801 = 31225212
BaseRepresentation
bin1011011000000101…
…00100000110110001
3120202122111011001021
411230002210012301
5100002020010201
62450014335441
7304231364122
oct55402440661
916678434037
106107578801
112654629395
1212254ba581
1376446406c
1441d214049
1525b2d7ea1
hex16c0a41b1

6107578801 has 9 divisors (see below), whose sum is σ = 6313457259. Its totient is φ = 5908215600.

The previous prime is 6107578793. The next prime is 6107578853. The reversal of 6107578801 is 1088757016.

The square root of 6107578801 is 78151.

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

It can be written as a sum of positive squares in only one way, i.e., 4844401 + 6102734400 = 2201^2 + 78120^2 .

It is not a de Polignac number, because 6107578801 - 23 = 6107578793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6107578201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2421421 + ... + 2423941.

It is an arithmetic number, because the mean of its divisors is an integer number (701495251).

Almost surely, 26107578801 is an apocalyptic number.

6107578801 is the 78151-st square number.

6107578801 is the 39076-th centered octagonal number.

It is an amenable number.

6107578801 is a deficient number, since it is larger than the sum of its proper divisors (205878458).

6107578801 is an frugal number, since it uses more digits than its factorization.

6107578801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 43.

The cubic root of 6107578801 is about 1827.9165276897.

It can be divided in two parts, 61075 and 78801, that added together give a square (139876 = 3742).

The spelling of 6107578801 in words is "six billion, one hundred seven million, five hundred seventy-eight thousand, eight hundred one".

Divisors: 1 31 961 2521 78151 2422681 6355441 197018671 6107578801