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1294728993 = 321729092
BaseRepresentation
bin100110100101011…
…1111111100100001
310100020021001021200
41031022333330201
510122422311433
6332250311413
744041005045
oct11512777441
93306231250
101294728993
11604928068
12301728569
13178310a3c
14c3d4c025
15789ed613
hex4d2bff21

1294728993 has 18 divisors (see below), whose sum is σ = 1980854694. Its totient is φ = 812099712.

The previous prime is 1294728977. The next prime is 1294729001. The reversal of 1294728993 is 3998274921.

1294728993 is a `hidden beast` number, since 1 + 2 + 9 + 472 + 89 + 93 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 860131584 + 434597409 = 29328^2 + 20847^2 .

It is not a de Polignac number, because 1294728993 - 24 = 1294728977 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1294728943) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 443623 + ... + 446531.

It is an arithmetic number, because the mean of its divisors is an integer number (110047483).

Almost surely, 21294728993 is an apocalyptic number.

It is an amenable number.

1294728993 is a deficient number, since it is larger than the sum of its proper divisors (686125701).

1294728993 is an frugal number, since it uses more digits than its factorization.

1294728993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 2929 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 1294728993 is about 35982.3427947653. The cubic root of 1294728993 is about 1089.9158235363.

The spelling of 1294728993 in words is "one billion, two hundred ninety-four million, seven hundred twenty-eight thousand, nine hundred ninety-three".

Divisors: 1 3 9 17 51 153 2909 8727 26181 49453 148359 445077 8462281 25386843 76160529 143858777 431576331 1294728993