Search a number
-
+
17246978049 = 3729160717623
BaseRepresentation
bin10000000100000000…
…000000000000000001
31122111222020021002210
4100010000000000001
5240310211244144
611531222332333
71150252615560
oct200400000001
948458207083
1017246978049
117350518974
123413b8a0a9
13181b218472
14b9880dbd7
156ae210ab9
hex404000001

17246978049 has 32 divisors (see below), whose sum is σ = 27205816320. Its totient is φ = 9509113152.

The previous prime is 17246978039. The next prime is 17246978071. The reversal of 17246978049 is 94087964271.

It is a happy number.

It is not a de Polignac number, because 17246978049 - 219 = 17246453761 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 17246978049.

It is not an unprimeable number, because it can be changed into a prime (17246978039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969852 + ... + 987474.

It is an arithmetic number, because the mean of its divisors is an integer number (850181760).

It is a Proth number, since it is equal to 257 ⋅ 226 + 1 and 257 < 226.

Almost surely, 217246978049 is an apocalyptic number.

It is an amenable number.

17246978049 is a deficient number, since it is larger than the sum of its proper divisors (9958838271).

17246978049 is a wasteful number, since it uses less digits than its factorization.

17246978049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19269.

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 17246978049 in words is "seventeen billion, two hundred forty-six million, nine hundred seventy-eight thousand, forty-nine".

Divisors: 1 3 7 21 29 87 203 609 1607 4821 11249 17623 33747 46603 52869 123361 139809 326221 370083 511067 978663 1533201 3577469 10732407 28320161 84960483 198241127 594723381 821284669 2463854007 5748992683 17246978049