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12592210208 = 258322392
BaseRepresentation
bin10111011101000110…
…11110000100100000
31012111120110120000212
423232203132010200
5201242101211313
65441302433252
7624022010054
oct135643360440
935446416025
1012592210208
115381a799a6
122535132828
131258a63876
14876537c64
154da7503a8
hex2ee8de120

12592210208 has 54 divisors (see below), whose sum is σ = 25198629939. Its totient is φ = 6194222272.

The previous prime is 12592210207. The next prime is 12592210229. The reversal of 12592210208 is 80201229521.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6296105104 + 6296105104 = 79348^2 + 79348^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=79348.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12592210201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52686953 + ... + 52687191.

Almost surely, 212592210208 is an apocalyptic number.

It is an amenable number.

12592210208 is an abundant number, since it is smaller than the sum of its proper divisors (12606419731).

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

12592210208 is an frugal number, since it uses more digits than its factorization.

12592210208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

Multiplying 12592210208 by its sum of digits (32), we get a square (402950726656 = 6347842).

12592210208 divided by its sum of digits (32) gives a square (393506569 = 198372).

Adding to 12592210208 its reverse (80201229521), we get a palindrome (92793439729).

The spelling of 12592210208 in words is "twelve billion, five hundred ninety-two million, two hundred ten thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 83 166 239 332 478 664 956 1328 1912 2656 3824 6889 7648 13778 19837 27556 39674 55112 57121 79348 110224 114242 158696 220448 228484 317392 456968 634784 913936 1646471 1827872 3292942 4741043 6585884 9482086 13171768 18964172 26343536 37928344 52687072 75856688 151713376 393506569 787013138 1574026276 3148052552 6296105104 12592210208