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12796480000 = 295439989
BaseRepresentation
bin10111110101011101…
…01100101000000000
31020000210211112111201
423322232230220000
5202201344330000
65513440550544
7632052166603
oct137256545000
936023745451
1012796480000
115477308907
122591622454
13128c184475
1489570c33a
154ed64e96a
hex2fabaca00

12796480000 has 100 divisors (see below), whose sum is σ = 31950530370. Its totient is φ = 5118464000.

The previous prime is 12796479979. The next prime is 12796480001. The reversal of 12796480000 is 8469721.

It can be written as a sum of positive squares in 5 ways, for example, as 83466496 + 12713013504 = 9136^2 + 112752^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (12796480001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 300006 + ... + 339994.

Almost surely, 212796480000 is an apocalyptic number.

12796480000 is a gapful number since it is divisible by the number (10) 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 12796480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15975265185).

12796480000 is an abundant number, since it is smaller than the sum of its proper divisors (19154050370).

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

12796480000 is an frugal number, since it uses more digits than its factorization.

12796480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40027 (or 39996 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 12796480000 in words is "twelve billion, seven hundred ninety-six million, four hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 39989 40000 64000 79978 80000 159956 160000 199945 319912 320000 399890 639824 799780 999725 1279648 1599560 1999450 2559296 3199120 3998900 4998625 5118592 6398240 7997800 9997250 10237184 12796480 15995600 19994500 20474368 24993125 25592960 31991200 39989000 49986250 51185920 63982400 79978000 99972500 102371840 127964800 159956000 199945000 255929600 319912000 399890000 511859200 639824000 799780000 1279648000 1599560000 2559296000 3199120000 6398240000 12796480000