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10163803104 = 2533713257503
BaseRepresentation
bin10010111011100111…
…10101001111100000
3222020022222200202000
421131303311033200
5131303413144404
64400313324000
7506603621010
oct113563651740
928208880660
1010163803104
114346224784
121b77a06600
13c5c90cca0
146c5c01c40
153e7467339
hex25dcf53e0

10163803104 has 384 divisors, whose sum is σ = 36700231680. Its totient is φ = 2664824832.

The previous prime is 10163803093. The next prime is 10163803121. The reversal of 10163803104 is 40130836101.

10163803104 is a `hidden beast` number, since 10 + 1 + 638 + 0 + 3 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20206117 + ... + 20206619.

It is an arithmetic number, because the mean of its divisors is an integer number (95573520).

Almost surely, 210163803104 is an apocalyptic number.

10163803104 is a gapful number since it is divisible by the number (14) 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 10163803104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18350115840).

10163803104 is an abundant number, since it is smaller than the sum of its proper divisors (26536428576).

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

10163803104 is a wasteful number, since it uses less digits than its factorization.

10163803104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10163803104 in words is "ten billion, one hundred sixty-three million, eight hundred three thousand, one hundred four".