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12746166320 = 245733217363
BaseRepresentation
bin10111101111011101…
…10001000000110000
31012220022011100010002
423313232301000300
5202101004310240
65504442325132
7630601424516
oct136756610060
935808140102
1012746166320
115450973458
1225787b97a8
131281919364
1488cb724b6
154e9011d15
hex2f7bb1030

12746166320 has 40 divisors (see below), whose sum is σ = 29675402736. Its totient is φ = 5091487488.

The previous prime is 12746166271. The next prime is 12746166379. The reversal of 12746166320 is 2366164721.

It is a happy number.

12746166320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 50042 + ... + 167321.

Almost surely, 212746166320 is an apocalyptic number.

12746166320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12746166320 is an abundant number, since it is smaller than the sum of its proper divisors (16929236416).

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

12746166320 is a wasteful number, since it uses less digits than its factorization.

12746166320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218109 (or 218103 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 12746166320 in words is "twelve billion, seven hundred forty-six million, one hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 733 1466 2932 3665 5864 7330 11728 14660 29320 58640 217363 434726 869452 1086815 1738904 2173630 3477808 4347260 8694520 17389040 159327079 318654158 637308316 796635395 1274616632 1593270790 2549233264 3186541580 6373083160 12746166320