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106185462318 = 23213453784027
BaseRepresentation
bin110001011100100100…
…1011001001000101110
3101011002020200101101200
41202321021121020232
53214431434243233
6120440402550330
710446242352225
oct1427111311056
9334066611350
10106185462318
114103aa1a531
12186b53683a6
13a023142710
1451d4749cbc
152b672a9313
hex18b925922e

106185462318 has 24 divisors (see below), whose sum is σ = 247766079288. Its totient is φ = 32672449872.

The previous prime is 106185462307. The next prime is 106185462323. The reversal of 106185462318 is 813264581601.

106185462318 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 8 + 5 + 4 + 623 + 18 = 666.

It is a super-2 number, since 2×1061854623182 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 226891780 + ... + 226892247.

It is an arithmetic number, because the mean of its divisors is an integer number (10323586637).

Almost surely, 2106185462318 is an apocalyptic number.

106185462318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106185462318 is an abundant number, since it is smaller than the sum of its proper divisors (141580616970).

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

106185462318 is a wasteful number, since it uses less digits than its factorization.

106185462318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453784048 (or 453784045 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 106185462318 in words is "one hundred six billion, one hundred eighty-five million, four hundred sixty-two thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 453784027 907568054 1361352081 2722704162 4084056243 5899192351 8168112486 11798384702 17697577053 35395154106 53092731159 106185462318