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106090483743 = 32659128913877
BaseRepresentation
bin110001011001101111…
…1000101000000011111
3101010211121221222021200
41202303133011000133
53214233130434433
6120423131130543
710444010142606
oct1426337050037
9333747858250
10106090483743
1140aa1348742
12186895a3a53
13a00956968a
1451c5ca4a3d
152b5dc97613
hex18b37c501f

106090483743 has 24 divisors (see below), whose sum is σ = 153604479600. Its totient is φ = 70559793024.

The previous prime is 106090483703. The next prime is 106090483771. The reversal of 106090483743 is 347384090601.

106090483743 is a `hidden beast` number, since 1 + 0 + 609 + 0 + 4 + 8 + 37 + 4 + 3 = 666.

It is not a de Polignac number, because 106090483743 - 28 = 106090483487 is a prime.

It is a super-2 number, since 2×1060904837432 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106090483703) 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 23 ways as a sum of consecutive naturals, for example, 7638121 + ... + 7651997.

It is an arithmetic number, because the mean of its divisors is an integer number (6400186650).

Almost surely, 2106090483743 is an apocalyptic number.

106090483743 is a deficient number, since it is larger than the sum of its proper divisors (47513995857).

106090483743 is a wasteful number, since it uses less digits than its factorization.

106090483743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15831 (or 15828 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 106090483743 in words is "one hundred six billion, ninety million, four hundred eighty-three thousand, seven hundred forty-three".

Divisors: 1 3 9 659 1289 1977 3867 5931 11601 13877 41631 124893 849451 2548353 7645059 9144943 17887453 27434829 53662359 82304487 160987077 11787831527 35363494581 106090483743