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12976422912 = 215344889
BaseRepresentation
bin11000001010111010…
…01000000000000000
31020111100102120210000
430011131020000000
5203033431013122
65543345440000
7636365526525
oct140535100000
936440376700
1012976422912
115559941662
122621940000
1312ba53836b
148b158d14c
1550e3460ac
hex305748000

12976422912 has 160 divisors (see below), whose sum is σ = 38776404150. Its totient is φ = 4324589568.

The previous prime is 12976422887. The next prime is 12976422947. The reversal of 12976422912 is 21922467921.

It can be written as a sum of positive squares in only one way, i.e., 10044850176 + 2931572736 = 100224^2 + 54144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2651764 + ... + 2656652.

Almost surely, 212976422912 is an apocalyptic number.

12976422912 is a gapful number since it is divisible by the number (12) 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 12976422912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388202075).

12976422912 is an abundant number, since it is smaller than the sum of its proper divisors (25799981238).

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

12976422912 is an frugal number, since it uses more digits than its factorization.

12976422912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931 (or 4894 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 12976422912 in words is "twelve billion, nine hundred seventy-six million, four hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 4889 5184 6144 6912 8192 9216 9778 10368 12288 13824 14667 16384 18432 19556 20736 24576 27648 29334 32768 36864 39112 41472 44001 49152 55296 58668 73728 78224 82944 88002 98304 110592 117336 132003 147456 156448 165888 176004 221184 234672 264006 294912 312896 331776 352008 396009 442368 469344 528012 625792 663552 704016 792018 884736 938688 1056024 1251584 1327104 1408032 1584036 1877376 2112048 2503168 2654208 2816064 3168072 3754752 4224096 5006336 5632128 6336144 7509504 8448192 10012672 11264256 12672288 15019008 16896384 20025344 22528512 25344576 30038016 33792768 40050688 45057024 50689152 60076032 67585536 80101376 90114048 101378304 120152064 135171072 160202752 180228096 202756608 240304128 270342144 360456192 405513216 480608256 540684288 720912384 811026432 1081368576 1441824768 1622052864 2162737152 3244105728 4325474304 6488211456 12976422912