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12275209728 = 29329372843
BaseRepresentation
bin10110110111010100…
…01101011000000000
31011200110222021010100
423123222031120000
5200114423202403
65350020202400
7613122363315
oct133352153000
934613867110
1012275209728
11522a043831
122466b39400
131208192a12
148463bad0c
154bc9d42a3
hex2dba8d600

12275209728 has 120 divisors (see below), whose sum is σ = 35477369928. Its totient is φ = 4085932032.

The previous prime is 12275209691. The next prime is 12275209757. The reversal of 12275209728 is 82790257221.

12275209728 is a `hidden beast` number, since 12 + 2 + 7 + 520 + 97 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4316275 + ... + 4319117.

Almost surely, 212275209728 is an apocalyptic number.

12275209728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12275209728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17738684964).

12275209728 is an abundant number, since it is smaller than the sum of its proper divisors (23202160200).

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

12275209728 is an equidigital number, since it uses as much as digits as its factorization.

12275209728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12275209728 in words is "twelve billion, two hundred seventy-five million, two hundred nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 937 1152 1536 1874 2304 2811 2843 3748 4608 5622 5686 7496 8433 8529 11244 11372 14992 16866 17058 22488 22744 25587 29984 33732 34116 44976 45488 51174 59968 67464 68232 89952 90976 102348 119936 134928 136464 179904 181952 204696 239872 269856 272928 359808 363904 409392 479744 539712 545856 719616 727808 818784 1079424 1091712 1439232 1455616 1637568 2158848 2183424 2663891 3275136 4317696 4366848 5327782 6550272 7991673 10655564 13100544 15983346 21311128 23975019 31966692 42622256 47950038 63933384 85244512 95900076 127866768 170489024 191800152 255733536 340978048 383600304 511467072 681956096 767200608 1022934144 1363912192 1534401216 2045868288 3068802432 4091736576 6137604864 12275209728