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12820514245 = 571137900001
BaseRepresentation
bin10111111000010100…
…11000010111000101
31020002111001121021221
423330022120113011
5202224022423440
65520100040341
7632463400360
oct137412302705
936074047257
1012820514245
115489934120
1225996930b1
13129414ac06
148989a70d7
155007ead4a
hex2fc2985c5

12820514245 has 32 divisors (see below), whose sum is σ = 19699243776. Its totient is φ = 7776000000.

The previous prime is 12820514227. The next prime is 12820514261. The reversal of 12820514245 is 54241502821.

12820514245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12820514245 - 29 = 12820513733 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12820514245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435756 + ... + 464245.

It is an arithmetic number, because the mean of its divisors is an integer number (615601368).

Almost surely, 212820514245 is an apocalyptic number.

It is an amenable number.

12820514245 is a deficient number, since it is larger than the sum of its proper divisors (6878729531).

12820514245 is a wasteful number, since it uses less digits than its factorization.

12820514245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900061.

The product of its (nonzero) digits is 25600, while the sum is 34.

It can be divided in two parts, 128205 and 14245, that multiplied together give a square (1826280225 = 427352).

The spelling of 12820514245 in words is "twelve billion, eight hundred twenty million, five hundred fourteen thousand, two hundred forty-five".

Divisors: 1 5 7 11 35 37 55 77 185 259 385 407 1295 2035 2849 14245 900001 4500005 6300007 9900011 31500035 33300037 49500055 69300077 166500185 233100259 346500385 366300407 1165501295 1831502035 2564102849 12820514245