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13420878912 = 2632721929863
BaseRepresentation
bin11000111111111001…
…00101110001000000
31021122022202021210100
430133330211301000
5204441221111122
610055424002400
7653403405600
oct143774456100
937568667710
1013420878912
115767810a71
122726760400
13135b64378c
14914606c00
1553838baac
hex31ff25c40

13420878912 has 504 divisors, whose sum is σ = 48785068800. Its totient is φ = 3503388672.

The previous prime is 13420878901. The next prime is 13420878967. The reversal of 13420878912 is 21987802431.

It is a happy number.

13420878912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15550993 + ... + 15551855.

Almost surely, 213420878912 is an apocalyptic number.

13420878912 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 13420878912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24392534400).

13420878912 is an abundant number, since it is smaller than the sum of its proper divisors (35364189888).

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

13420878912 is a wasteful number, since it uses less digits than its factorization.

13420878912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13420878912 in words is "thirteen billion, four hundred twenty million, eight hundred seventy-eight thousand, nine hundred twelve".