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12512506496 = 27741933329
BaseRepresentation
bin10111010011100110…
…11011001010000000
31012022000111012002112
423221303123022000
5201111200201441
65425334234452
7622033356530
oct135163331200
935260435075
1012512506496
115340a90366
1225124b5a28
1312453a82c9
14869b0b4c0
154d37594eb
hex2e9cdb280

12512506496 has 64 divisors (see below), whose sum is σ = 28557144000. Its totient is φ = 5349543936.

The previous prime is 12512506463. The next prime is 12512506499. The reversal of 12512506496 is 69460521521.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12512506499) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358760 + ... + 392088.

It is an arithmetic number, because the mean of its divisors is an integer number (446205375).

Almost surely, 212512506496 is an apocalyptic number.

12512506496 is a gapful number since it is divisible by the number (16) 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 12512506496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14278572000).

12512506496 is an abundant number, since it is smaller than the sum of its proper divisors (16044637504).

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

12512506496 is an equidigital number, since it uses as much as digits as its factorization.

12512506496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33769 (or 33757 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 12512506496 in words is "twelve billion, five hundred twelve million, five hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 419 448 838 896 1676 2933 3352 5866 6704 11732 13408 23464 26816 33329 46928 53632 66658 93856 133316 187712 233303 266632 375424 466606 533264 933212 1066528 1866424 2133056 3732848 4266112 7465696 13964851 14931392 27929702 29862784 55859404 97753957 111718808 195507914 223437616 391015828 446875232 782031656 893750464 1564063312 1787500928 3128126624 6256253248 12512506496