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106663273692 = 22310386297147
BaseRepresentation
bin110001101010110100…
…0000110010011011100
3101012022112202201101020
41203111220012103130
53221421244224232
6121000032044140
710464133603263
oct1432550062334
9335275681336
10106663273692
1141265701268
1218809393650
13a09b129141
14523bda75da
152b941dce2c
hex18d5a064dc

106663273692 has 24 divisors (see below), whose sum is σ = 251297294976. Its totient is φ = 35209235568.

The previous prime is 106663273643. The next prime is 106663273693. The reversal of 106663273692 is 296372366601.

It is a happy number.

106663273692 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1066632736922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106663273693) 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 7 ways as a sum of consecutive naturals, for example, 43147338 + ... + 43149809.

It is an arithmetic number, because the mean of its divisors is an integer number (10470720624).

Almost surely, 2106663273692 is an apocalyptic number.

106663273692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106663273692 is an abundant number, since it is smaller than the sum of its proper divisors (144634021284).

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

106663273692 is a wasteful number, since it uses less digits than its factorization.

106663273692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86297257 (or 86297255 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 51.

The spelling of 106663273692 in words is "one hundred six billion, six hundred sixty-three million, two hundred seventy-three thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 103 206 309 412 618 1236 86297147 172594294 258891441 345188588 517782882 1035565764 8888606141 17777212282 26665818423 35554424564 53331636846 106663273692