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10338043680 = 25325233110069
BaseRepresentation
bin10011010000011001…
…00000011100100000
3222200110212000212200
421220030200130200
5132133014344210
64425500053200
7514120631016
oct115014403440
928613760780
1010338043680
114425613258
122006234200
13c89a48513
14700dda8b6
154078d40c0
hex268320720

10338043680 has 288 divisors, whose sum is σ = 38003696640. Its totient is φ = 2551633920.

The previous prime is 10338043637. The next prime is 10338043721. The reversal of 10338043680 is 8634083301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021686 + ... + 1031754.

It is an arithmetic number, because the mean of its divisors is an integer number (131957280).

Almost surely, 210338043680 is an apocalyptic number.

10338043680 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 10338043680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19001848320).

10338043680 is an abundant number, since it is smaller than the sum of its proper divisors (27665652960).

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

10338043680 is a wasteful number, since it uses less digits than its factorization.

10338043680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10144 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10338043680 in words is "ten billion, three hundred thirty-eight million, forty-three thousand, six hundred eighty".