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106916981417 = 172369954953
BaseRepresentation
bin110001110010010111…
…1111010101010101001
3101012222020011101221122
41203210233322222221
53222431221401132
6121041133545025
710503334230041
oct1434457725251
9335866141848
10106916981417
1141385937674
121887a345175
13a10b86935c
14526396a721
152bab605912
hex18e4bfaaa9

106916981417 has 6 divisors (see below), whose sum is σ = 113576170878. Its totient is φ = 100627746944.

The previous prime is 106916981411. The next prime is 106916981419. The reversal of 106916981417 is 714189619601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 54371046976 + 52545934441 = 233176^2 + 229229^2 .

It is not a de Polignac number, because 106916981417 - 210 = 106916980393 is a prime.

It is a super-2 number, since 2×1069169814172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106916981411) 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, 184977188 + ... + 184977765.

It is an arithmetic number, because the mean of its divisors is an integer number (18929361813).

Almost surely, 2106916981417 is an apocalyptic number.

106916981417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106916981417 is a deficient number, since it is larger than the sum of its proper divisors (6659189461).

106916981417 is an equidigital number, since it uses as much as digits as its factorization.

106916981417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369954987 (or 369954970 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 53.

The spelling of 106916981417 in words is "one hundred six billion, nine hundred sixteen million, nine hundred eighty-one thousand, four hundred seventeen".

Divisors: 1 17 289 369954953 6289234201 106916981417