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17946347441 = 112148316921
BaseRepresentation
bin10000101101101011…
…111000011110110001
31201022201012220112212
4100231223320132301
5243223231104231
612124444301505
71203504302441
oct205553703661
951281186485
1017946347441
11767a277500
12358a241895
1319000967c9
14c23662121
1570080b42b
hex42daf87b1

17946347441 has 6 divisors (see below), whose sum is σ = 19726150626. Its totient is φ = 16314861200.

The previous prime is 17946347389. The next prime is 17946347453. The reversal of 17946347441 is 14474364971.

It can be written as a sum of positive squares in only one way, i.e., 17903510416 + 42837025 = 133804^2 + 6545^2 .

It is not a de Polignac number, because 17946347441 - 222 = 17942153137 is a prime.

It is a Duffinian number.

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 17946347441.

It is not an unprimeable number, because it can be changed into a prime (17946347491) 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 5 ways as a sum of consecutive naturals, for example, 74158340 + ... + 74158581.

It is an arithmetic number, because the mean of its divisors is an integer number (3287691771).

Almost surely, 217946347441 is an apocalyptic number.

17946347441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

17946347441 is a deficient number, since it is larger than the sum of its proper divisors (1779803185).

17946347441 is a wasteful number, since it uses less digits than its factorization.

17946347441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148316943 (or 148316932 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 50.

The spelling of 17946347441 in words is "seventeen billion, nine hundred forty-six million, three hundred forty-seven thousand, four hundred forty-one".

Divisors: 1 11 121 148316921 1631486131 17946347441