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105438773783 = 7557214312619
BaseRepresentation
bin110001000110010100…
…1000000001000010111
3101002011012122200021202
41202030221000020113
53211414311230113
6120234330503115
710421604534560
oct1421451001027
9332135580252
10105438773783
1140797491372
1218527294a9b
139c34537295
1451634db167
152b21963258
hex188ca40217

105438773783 has 16 divisors (see below), whose sum is σ = 120783697920. Its totient is φ = 90164594016.

The previous prime is 105438773771. The next prime is 105438773789. The reversal of 105438773783 is 387377834501.

It is not a de Polignac number, because 105438773783 - 210 = 105438772759 is a prime.

It is a super-2 number, since 2×1054387737832 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105438773789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8349248 + ... + 8361866.

It is an arithmetic number, because the mean of its divisors is an integer number (7548981120).

Almost surely, 2105438773783 is an apocalyptic number.

105438773783 is a deficient number, since it is larger than the sum of its proper divisors (15344924137).

105438773783 is a wasteful number, since it uses less digits than its factorization.

105438773783 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15326.

The product of its (nonzero) digits is 11854080, while the sum is 56.

The spelling of 105438773783 in words is "one hundred five billion, four hundred thirty-eight million, seven hundred seventy-three thousand, seven hundred eighty-three".

Divisors: 1 7 557 2143 3899 12619 15001 88333 1193651 7028783 8355557 27042517 49201481 189297619 15062681969 105438773783