Search a number
-
+
12650639968512 = 283572131312437
BaseRepresentation
bin1011100000010111010011…
…1001101100100100000000
31122210101111211222002200000
42320011310321230210000
53124232002312443022
642523342422400000
72443656436336500
oct270056471544400
948711454862600
1012650639968512
114038119508247
121503941890000
13709c4786aab0
1431a419581a00
1516e1138e86ac
hexb8174e6c900

12650639968512 has 1296 divisors, whose sum is σ = 47767532484672. Its totient is φ = 3309604945920.

The previous prime is 12650639968511. The next prime is 12650639968517. The reversal of 12650639968512 is 21586993605621.

12650639968512 is a `hidden beast` number, since 1 + 2 + 6 + 50 + 6 + 3 + 9 + 9 + 68 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×126506399685122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 12650639968512.

It is not an unprimeable number, because it can be changed into a prime (12650639968511) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5191069758 + ... + 5191072194.

Almost surely, 212650639968512 is an apocalyptic number.

12650639968512 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 12650639968512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23883766242336).

12650639968512 is an abundant number, since it is smaller than the sum of its proper divisors (35116892516160).

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

12650639968512 is a wasteful number, since it uses less digits than its factorization.

12650639968512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 12650639968512 in words is "twelve trillion, six hundred fifty billion, six hundred thirty-nine million, nine hundred sixty-eight thousand, five hundred twelve".