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13457870712 = 233811213163
BaseRepresentation
bin11001000100010011…
…01100111101111000
31021201220100200000000
430202021230331320
5210030203330322
610103224513000
7654333004446
oct144211547570
937656320000
1013457870712
115786687500
12273701b760
1313661c6010
149194b5b96
1553b7473ac
hex32226cf78

13457870712 has 432 divisors, whose sum is σ = 45076897320. Its totient is φ = 3741344640.

The previous prime is 13457870711. The next prime is 13457870719. The reversal of 13457870712 is 21707875431.

13457870712 is a `hidden beast` number, since 1 + 3 + 4 + 578 + 7 + 0 + 71 + 2 = 666.

13457870712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134578707122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13457870711) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 82563543 + ... + 82563705.

Almost surely, 213457870712 is an apocalyptic number.

13457870712 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 13457870712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538448660).

13457870712 is an abundant number, since it is smaller than the sum of its proper divisors (31619026608).

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

13457870712 is a wasteful number, since it uses less digits than its factorization.

13457870712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 13457870712 in words is "thirteen billion, four hundred fifty-seven million, eight hundred seventy thousand, seven hundred twelve".