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12522480768 = 2734721572
BaseRepresentation
bin10111010100110010…
…11110010010000000
31012022201020221020000
423222121132102000
5201121223341033
65430332120000
7622214221200
oct135231362200
935281227200
1012522480768
115346683166
122515906000
13124748b245
1486b186400
154d4579a13
hex2ea65e480

12522480768 has 360 divisors, whose sum is σ = 43628939145. Its totient is φ = 3555062784.

The previous prime is 12522480757. The next prime is 12522480779. The reversal of 12522480768 is 86708422521.

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.

12522480768 is a `hidden beast` number, since 12 + 522 + 48 + 0 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12522480757) and next prime (12522480779).

It can be written as a sum of positive squares in 2 ways, for example, as 11961359424 + 561121344 = 109368^2 + 23688^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=79128.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 79760946 + ... + 79761102.

Almost surely, 212522480768 is an apocalyptic number.

12522480768 is a gapful number since it is divisible by the number (18) 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 12522480768

12522480768 is an abundant number, since it is smaller than the sum of its proper divisors (31106458377).

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

12522480768 is an frugal number, since it uses more digits than its factorization.

12522480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12522480768 in words is "twelve billion, five hundred twenty-two million, four hundred eighty thousand, seven hundred sixty-eight".