Search a number
-
+
12063730528320 = 2635127145967819
BaseRepresentation
bin1010111110001100111001…
…0111110111000001000000
31120201021121010022101100020
42233203032113313001000
53040123010003401240
641354000140253440
72353401326403042
oct257431627670100
946637533271306
1012063730528320
113931221423019
12142a046b41280
136967b2c9bc83
142d9c5dabba92
1515dc12e1a0d0
hexaf8ce5f7040

12063730528320 has 224 divisors, whose sum is σ = 38630966476800. Its totient is φ = 3189429540864.

The previous prime is 12063730528273. The next prime is 12063730528327. The reversal of 12063730528320 is 2382503736021.

12063730528320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12063730528327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177847371 + ... + 177915189.

Almost surely, 212063730528320 is an apocalyptic number.

12063730528320 is a gapful number since it is divisible by the number (10) 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 12063730528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19315483238400).

12063730528320 is an abundant number, since it is smaller than the sum of its proper divisors (26567235948480).

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

12063730528320 is a wasteful number, since it uses less digits than its factorization.

12063730528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69425 (or 69415 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 12063730528320 in words is "twelve trillion, sixty-three billion, seven hundred thirty million, five hundred twenty-eight thousand, three hundred twenty".