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6060116106 = 23211172337727
BaseRepresentation
bin1011010010011011…
…00000100010001010
3120122100011210110200
411221031200202022
544402342203411
62441201153030
7303114064662
oct55115404212
916570153420
106060116106
11262a860a20
12121162b776
13757686825
14416bbb1a2
1525705ee56
hex16936088a

6060116106 has 96 divisors (see below), whose sum is σ = 15233557248. Its totient is φ = 1720734720.

The previous prime is 6060116099. The next prime is 6060116113. The reversal of 6060116106 is 6016110606.

It is an interprime number because it is at equal distance from previous prime (6060116099) and next prime (6060116113).

It is a self number, because there is not a number n which added to its sum of digits gives 6060116106.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 780415 + ... + 788141.

It is an arithmetic number, because the mean of its divisors is an integer number (158682888).

Almost surely, 26060116106 is an apocalyptic number.

6060116106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6060116106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7616778624).

6060116106 is an abundant number, since it is smaller than the sum of its proper divisors (9173441142).

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

6060116106 is a wasteful number, since it uses less digits than its factorization.

6060116106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996 (or 7993 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6060116106 is about 77846.7475621172. The cubic root of 6060116106 is about 1823.1692261361.

The spelling of 6060116106 in words is "six billion, sixty million, one hundred sixteen thousand, one hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 233 306 374 466 561 699 1122 1398 1683 2097 2563 3366 3961 4194 5126 7689 7727 7922 11883 15378 15454 23067 23181 23766 35649 43571 46134 46362 69543 71298 84997 87142 130713 131359 139086 169994 254991 261426 262718 392139 394077 509982 764973 784278 788154 1182231 1444949 1529946 1800391 2364462 2889898 3600782 4334847 5401173 8669694 10802346 13004541 16203519 19804301 26009082 30606647 32407038 39608602 59412903 61213294 91819941 118825806 178238709 183639882 275459823 336673117 356477418 550919646 673346234 1010019351 2020038702 3030058053 6060116106