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12355066272 = 253294437883
BaseRepresentation
bin10111000000110101…
…10101100110100000
31011220001020101201010
423200122311212200
5200300344110042
65401551540520
7615112221243
oct134032654640
934801211633
1012355066272
11527012717a
12248982a740
13121b8a2a03
14852c4725a
154c4a0a59c
hex2e06b59a0

12355066272 has 48 divisors (see below), whose sum is σ = 33550403040. Its totient is φ = 3976342272.

The previous prime is 12355066267. The next prime is 12355066279. The reversal of 12355066272 is 27266055321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12355066272.

It is not an unprimeable number, because it can be changed into a prime (12355066279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2216158 + ... + 2221725.

It is an arithmetic number, because the mean of its divisors is an integer number (698966730).

Almost surely, 212355066272 is an apocalyptic number.

12355066272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12355066272 is an abundant number, since it is smaller than the sum of its proper divisors (21195336768).

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

12355066272 is a wasteful number, since it uses less digits than its factorization.

12355066272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437925 (or 4437917 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 12355066272 in words is "twelve billion, three hundred fifty-five million, sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 4437883 8875766 13313649 17751532 26627298 35503064 53254596 71006128 106509192 128698607 142012256 213018384 257397214 386095821 426036768 514794428 772191642 1029588856 1544383284 2059177712 3088766568 4118355424 6177533136 12355066272