Search a number
-
+
12485064438 = 2357113771127
BaseRepresentation
bin10111010000010101…
…01111011011110110
31012020002211222200000
423220022233123312
5201032134030223
65422514132130
7621251203530
oct135012573366
935202758600
1012485064438
115327547780
122505281046
13123c7ba6c2
14866206850
154d1138543
hex2e82af6f6

12485064438 has 384 divisors, whose sum is σ = 36713005056. Its totient is φ = 3086294400.

The previous prime is 12485064433. The next prime is 12485064461. The reversal of 12485064438 is 83446058421.

12485064438 is a `hidden beast` number, since 124 + 85 + 0 + 6 + 443 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12485064393 and 12485064402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12485064433) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98307531 + ... + 98307657.

It is an arithmetic number, because the mean of its divisors is an integer number (95606784).

Almost surely, 212485064438 is an apocalyptic number.

12485064438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12485064438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18356502528).

12485064438 is an abundant number, since it is smaller than the sum of its proper divisors (24227940618).

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

12485064438 is a wasteful number, since it uses less digits than its factorization.

12485064438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 12485064438 in words is "twelve billion, four hundred eighty-five million, sixty-four thousand, four hundred thirty-eight".