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6989281875625 = 5472151072
BaseRepresentation
bin110010110110101000110…
…1010011101011010101001
3220202011120001220211210211
41211231101222131122221
51404003022130010000
622510455354541121
71320646630466200
oct145552152353251
926664501824724
106989281875625
112255157454915
1294a6a04377a1
133b9117c242ba
141a23d697c237
15c1c1978d7ba
hex65b51a9d6a9

6989281875625 has 45 divisors (see below), whose sum is σ = 10160406807969. Its totient is φ = 4792333182000.

The previous prime is 6989281875623. The next prime is 6989281875647. The reversal of 6989281875625 is 5265781829896.

The square root of 6989281875625 is 2643725.

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

It can be written as a sum of positive squares in 2 ways, for example, as 547959699049 + 6441322176576 = 740243^2 + 2537976^2 .

It is not a de Polignac number, because 6989281875625 - 21 = 6989281875623 is a prime.

It is a super-2 number, since 2×69892818756252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6989281875623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 462644322 + ... + 462659428.

Almost surely, 26989281875625 is an apocalyptic number.

6989281875625 is the 2643725-th square number.

6989281875625 is the 1321863-rd centered octagonal number.

It is an amenable number.

6989281875625 is a deficient number, since it is larger than the sum of its proper divisors (3171124932344).

6989281875625 is an frugal number, since it uses more digits than its factorization.

6989281875625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30248 (or 15119 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 76.

The spelling of 6989281875625 in words is "six trillion, nine hundred eighty-nine billion, two hundred eighty-one million, eight hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 625 875 1225 4375 6125 15107 30625 75535 105749 377675 528745 740243 1888375 2643725 3701215 9441875 13218625 18506075 66093125 92530375 228221449 462651875 1141107245 1597550143 5705536225 7987750715 11182851001 28527681125 39938753575 55914255005 142638405625 199693767875 279571275025 998468839375 1397856375125 6989281875625