Search a number
-
+
17957943953417 = 132106260023393
BaseRepresentation
bin1000001010101001010001…
…10111101100100000001001
32100120202120222202010111202
410011110220313230200021
54323210332123002132
6102105433210033545
73532263410021036
oct405245067544011
970522528663452
1017957943953417
1157a3a15220a66
1220204531188b5
13a03571a2b400
1446125211638d
152121d9b3c762
hex105528dec809

17957943953417 has 6 divisors (see below), whose sum is σ = 19445584281102. Its totient is φ = 16576563649152.

The previous prime is 17957943953413. The next prime is 17957943953419. The reversal of 17957943953417 is 71435934975971.

It can be written as a sum of positive squares in 3 ways, for example, as 26199954496 + 17931743998921 = 161864^2 + 4234589^2 .

It is not a de Polignac number, because 17957943953417 - 22 = 17957943953413 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17957943953413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53130011528 + ... + 53130011865.

It is an arithmetic number, because the mean of its divisors is an integer number (3240930713517).

Almost surely, 217957943953417 is an apocalyptic number.

It is an amenable number.

17957943953417 is a deficient number, since it is larger than the sum of its proper divisors (1487640327685).

17957943953417 is a wasteful number, since it uses less digits than its factorization.

17957943953417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106260023419 (or 106260023406 counting only the distinct ones).

The product of its digits is 900169200, while the sum is 74.

The spelling of 17957943953417 in words is "seventeen trillion, nine hundred fifty-seven billion, nine hundred forty-three million, nine hundred fifty-three thousand, four hundred seventeen".

Divisors: 1 13 169 106260023393 1381380304109 17957943953417