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12506371680 = 2535117173457
BaseRepresentation
bin10111010010111000…
…00001011001100000
31012021120221111201010
423221130001121200
5201103112343210
65424554540520
7621630256005
oct135134013140
935246844633
1012506371680
115338580170
122510437740
13124403ab3a
14868d918ac
154d2e46920
hex2e9701660

12506371680 has 384 divisors, whose sum is σ = 44275424256. Its totient is φ = 2941747200.

The previous prime is 12506371673. The next prime is 12506371697. The reversal of 12506371680 is 8617360521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27366012 + ... + 27366468.

It is an arithmetic number, because the mean of its divisors is an integer number (115300584).

Almost surely, 212506371680 is an apocalyptic number.

12506371680 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 12506371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22137712128).

12506371680 is an abundant number, since it is smaller than the sum of its proper divisors (31769052576).

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

12506371680 is a wasteful number, since it uses less digits than its factorization.

12506371680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 12506371680 in words is "twelve billion, five hundred six million, three hundred seventy-one thousand, six hundred eighty".