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12962230848 = 263378312911
BaseRepresentation
bin11000001001001101…
…11111001001000000
31020110100201112221000
430010212333021000
5203021312341343
65542121332000
7636134100330
oct140446771100
936410645830
1012962230848
115551928986
122619037000
1312b76096a8
148ad7370c0
1550ce90ed3
hex3049bf240

12962230848 has 224 divisors, whose sum is σ = 44078469120. Its totient is φ = 3658590720.

The previous prime is 12962230843. The next prime is 12962230867. The reversal of 12962230848 is 84803226921.

12962230848 is a `hidden beast` number, since 12 + 9 + 622 + 3 + 0 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (12962230843) 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, 997513 + ... + 1010423.

It is an arithmetic number, because the mean of its divisors is an integer number (196778880).

Almost surely, 212962230848 is an apocalyptic number.

12962230848 is a gapful number since it is divisible by the number (18) 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 12962230848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22039234560).

12962230848 is an abundant number, since it is smaller than the sum of its proper divisors (31116238272).

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

12962230848 is a wasteful number, since it uses less digits than its factorization.

12962230848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13022 (or 13006 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12962230848 in words is "twelve billion, nine hundred sixty-two million, two hundred thirty thousand, eight hundred forty-eight".