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10278444816 = 2432314189631
BaseRepresentation
bin10011001001010010…
…01001111100010000
3222112022201002121100
421210221021330100
5132022240213231
64415530424400
7512465224263
oct114451117420
928468632540
1010278444816
1143a4a067a2
121baa292100
13c7a5ac013
146d7124cda
154025601e6
hex264a49f10

10278444816 has 240 divisors, whose sum is σ = 30808028160. Its totient is φ = 3193344000.

The previous prime is 10278444793. The next prime is 10278444833. The reversal of 10278444816 is 61844487201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16288821 + ... + 16289451.

It is an arithmetic number, because the mean of its divisors is an integer number (128366784).

Almost surely, 210278444816 is an apocalyptic number.

10278444816 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 10278444816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15404014080).

10278444816 is an abundant number, since it is smaller than the sum of its proper divisors (20529583344).

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

10278444816 is a wasteful number, since it uses less digits than its factorization.

10278444816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 10278444816 in words is "ten billion, two hundred seventy-eight million, four hundred forty-four thousand, eight hundred sixteen".