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106419242643 = 3759109787993
BaseRepresentation
bin110001100011100010…
…1001100011010010011
3101011200112120122201020
41203013011030122103
53220421311231033
6120515513410523
710455111431430
oct1430705143223
9334615518636
10106419242643
114114a98510a
121875b709a43
13a05c6c657c
145217802b87
152b7ca876b3
hex18c714c693

106419242643 has 32 divisors (see below), whose sum is σ = 166424332800. Its totient is φ = 59231782656.

The previous prime is 106419242591. The next prime is 106419242771. The reversal of 106419242643 is 346242914601.

It is not a de Polignac number, because 106419242643 - 28 = 106419242387 is a prime.

It is a super-2 number, since 2×1064192426432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106419242595 and 106419242604.

It is not an unprimeable number, because it can be changed into a prime (106419242443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258946 + ... + 529047.

It is an arithmetic number, because the mean of its divisors is an integer number (5200760400).

Almost surely, 2106419242643 is an apocalyptic number.

106419242643 is a deficient number, since it is larger than the sum of its proper divisors (60005090157).

106419242643 is a wasteful number, since it uses less digits than its factorization.

106419242643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788171.

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 106419242643 in words is "one hundred six billion, four hundred nineteen million, two hundred forty-two thousand, six hundred forty-three".

Divisors: 1 3 7 21 59 109 177 327 413 763 1239 2289 6431 19293 45017 135051 787993 2363979 5515951 16547853 46491587 85891237 139474761 257673711 325441109 601238659 976323327 1803715977 5067582983 15202748949 35473080881 106419242643