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12325455440 = 245154068193
BaseRepresentation
bin10110111101010011…
…11000011001010000
31011210222112000021122
423132221320121100
5200220304033230
65355013141412
7614302433264
oct133651703120
934728460248
1012325455440
115255442111
12247b92a868
131215705bcc
1484cd3a0a4
154c210bbe5
hex2dea78650

12325455440 has 20 divisors (see below), whose sum is σ = 28656684084. Its totient is φ = 4930182144.

The previous prime is 12325455437. The next prime is 12325455463. The reversal of 12325455440 is 4455452321.

12325455440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1736222224 + 10589233216 = 41668^2 + 102904^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×123254554403 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12325455440.

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 3 ways as a sum of consecutive naturals, for example, 77034017 + ... + 77034176.

Almost surely, 212325455440 is an apocalyptic number.

12325455440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12325455440 is an abundant number, since it is smaller than the sum of its proper divisors (16331228644).

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

12325455440 is a wasteful number, since it uses less digits than its factorization.

12325455440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154068206 (or 154068200 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 12325455440 in words is "twelve billion, three hundred twenty-five million, four hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 154068193 308136386 616272772 770340965 1232545544 1540681930 2465091088 3081363860 6162727720 12325455440