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10043941248 = 273311431613
BaseRepresentation
bin10010101101010101…
…00110000110000000
3221220222110002012000
421112222212012000
5131032222104443
64340352304000
7503620043355
oct112652460600
927828402160
1010043941248
1142945a77a0
121b43842000
13c40b33c03
146b3d2062c
153dbb8c8d3
hex256aa6180

10043941248 has 256 divisors, whose sum is σ = 32466355200. Its totient is φ = 3031603200.

The previous prime is 10043941223. The next prime is 10043941261. The reversal of 10043941248 is 84214934001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16384590 + ... + 16385202.

It is an arithmetic number, because the mean of its divisors is an integer number (126821700).

Almost surely, 210043941248 is an apocalyptic number.

10043941248 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 10043941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16233177600).

10043941248 is an abundant number, since it is smaller than the sum of its proper divisors (22422413952).

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

10043941248 is a wasteful number, since it uses less digits than its factorization.

10043941248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10043941248 in words is "ten billion, forty-three million, nine hundred forty-one thousand, two hundred forty-eight".