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106005361419 = 335966544483
BaseRepresentation
bin110001010111001101…
…0010111001100001011
3101010121200210022102000
41202232122113030023
53214044333031134
6120410450442043
710441624463556
oct1425632271413
9333550708360
10106005361419
1140a58299011
1218664b93323
139cc4a34939
1451b886769d
152b56580e99
hex18ae69730b

106005361419 has 16 divisors (see below), whose sum is σ = 159706761600. Its totient is φ = 69472439208.

The previous prime is 106005361373. The next prime is 106005361463. The reversal of 106005361419 is 914163500601.

106005361419 is a `hidden beast` number, since 1 + 0 + 600 + 5 + 3 + 6 + 1 + 41 + 9 = 666.

It is not a de Polignac number, because 106005361419 - 211 = 106005359371 is a prime.

It is a super-2 number, since 2×1060053614192 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005361499) 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 15 ways as a sum of consecutive naturals, for example, 33270649 + ... + 33273834.

It is an arithmetic number, because the mean of its divisors is an integer number (9981672600).

Almost surely, 2106005361419 is an apocalyptic number.

106005361419 is a deficient number, since it is larger than the sum of its proper divisors (53701400181).

106005361419 is an equidigital number, since it uses as much as digits as its factorization.

106005361419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66544551 (or 66544545 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 106005361419 in words is "one hundred six billion, five million, three hundred sixty-one thousand, four hundred nineteen".

Divisors: 1 3 9 27 59 177 531 1593 66544483 199633449 598900347 1796701041 3926124497 11778373491 35335120473 106005361419