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12308487456 = 253675213673
BaseRepresentation
bin10110111011010010…
…01001110100100000
31011202210120221120210
423131221021310200
5200201433044311
65353205334120
7614005263036
oct133551116440
934683527523
1012308487456
115246902891
122476107340
131212044895
1484a9a0556
154c08a93a6
hex2dda49d20

12308487456 has 96 divisors (see below), whose sum is σ = 32863900608. Its totient is φ = 4032737280.

The previous prime is 12308487449. The next prime is 12308487491. The reversal of 12308487456 is 65478480321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3349236 + ... + 3352908.

It is an arithmetic number, because the mean of its divisors is an integer number (342332298).

Almost surely, 212308487456 is an apocalyptic number.

12308487456 is a gapful number since it is divisible by the number (16) 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 12308487456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16431950304).

12308487456 is an abundant number, since it is smaller than the sum of its proper divisors (20555413152).

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

12308487456 is a wasteful number, since it uses less digits than its factorization.

12308487456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 12308487456 in words is "twelve billion, three hundred eight million, four hundred eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 521 536 804 1042 1072 1563 1608 2084 2144 3126 3216 3673 4168 6252 6432 7346 8336 11019 12504 14692 16672 22038 25008 29384 34907 44076 50016 58768 69814 88152 104721 117536 139628 176304 209442 246091 279256 352608 418884 492182 558512 738273 837768 984364 1117024 1476546 1675536 1913633 1968728 2953092 3351072 3827266 3937456 5740899 5906184 7654532 7874912 11481798 11812368 15309064 22963596 23624736 30618128 45927192 61236256 91854384 128213411 183708768 256426822 384640233 512853644 769280466 1025707288 1538560932 2051414576 3077121864 4102829152 6154243728 12308487456