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106608627882 = 23223257508763
BaseRepresentation
bin110001101001001011…
…1101001000010101010
3101012011201221102102100
41203102113221002222
53221313302043012
6120550400514230
710462601246121
oct1432227510252
9335151842370
10106608627882
1141237878039
12187b301b976
13a08ca05243
145234a20ab8
152b8e4e68dc
hex18d25e90aa

106608627882 has 24 divisors (see below), whose sum is σ = 241028203104. Its totient is φ = 33991156584.

The previous prime is 106608627877. The next prime is 106608627883. The reversal of 106608627882 is 288726806601.

106608627882 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 0 + 8 + 627 + 8 + 8 + 2 = 666.

It is a super-2 number, since 2×1066086278822 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106608627883) 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 11 ways as a sum of consecutive naturals, for example, 128753968 + ... + 128754795.

It is an arithmetic number, because the mean of its divisors is an integer number (10042841796).

Almost surely, 2106608627882 is an apocalyptic number.

106608627882 is an abundant number, since it is smaller than the sum of its proper divisors (134419575222).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106608627882 is a wasteful number, since it uses less digits than its factorization.

106608627882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257508794 (or 257508791 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 106608627882 in words is "one hundred six billion, six hundred eight million, six hundred twenty-seven thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 257508763 515017526 772526289 1545052578 2317578867 4635157734 5922701549 11845403098 17768104647 35536209294 53304313941 106608627882