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13450125312 = 213321314033
BaseRepresentation
bin11001000011011000…
…01010000000000000
31021201100210011022100
430201230022000000
5210021213002222
610102350510400
7654210115221
oct144154120000
937640704270
1013450125312
115782277248
122734505400
131364713740
1491845b248
1553ac174ac
hex321b0a000

13450125312 has 168 divisors, whose sum is σ = 41845262004. Its totient is φ = 4138205184.

The previous prime is 13450125239. The next prime is 13450125319. The reversal of 13450125312 is 21352105431.

13450125312 is a `hidden beast` number, since 1 + 345 + 0 + 1 + 2 + 5 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11273342976 + 2176782336 = 106176^2 + 46656^2 .

It is not an unprimeable number, because it can be changed into a prime (13450125319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 951448 + ... + 965480.

Almost surely, 213450125312 is an apocalyptic number.

13450125312 is a gapful number since it is divisible by the number (12) 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 13450125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20922631002).

13450125312 is an abundant number, since it is smaller than the sum of its proper divisors (28395136692).

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

13450125312 is a wasteful number, since it uses less digits than its factorization.

13450125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14078 (or 14051 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13450125312 in words is "thirteen billion, four hundred fifty million, one hundred twenty-five thousand, three hundred twelve".