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10273443840 = 21234511563
BaseRepresentation
bin10011001000101100…
…00101000000000000
3222111222022000120000
421210112011000000
5132020000200330
64415231320000
7512404555212
oct114426050000
928458260500
1010273443840
1143a2100460
121ba8680000
13c7954a96a
146d65c25b2
15401dc3560
hex264585000

10273443840 has 520 divisors, whose sum is σ = 40247035488. Its totient is φ = 2486108160.

The previous prime is 10273443827. The next prime is 10273443883. The reversal of 10273443840 is 4834437201.

10273443840 is a `hidden beast` number, since 1 + 0 + 273 + 4 + 4 + 384 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10273443795 and 10273443804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18247399 + ... + 18247961.

Almost surely, 210273443840 is an apocalyptic number.

10273443840 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 10273443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20123517744).

10273443840 is an abundant number, since it is smaller than the sum of its proper divisors (29973591648).

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

10273443840 is an equidigital number, since it uses as much as digits as its factorization.

10273443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 10273443840 in words is "ten billion, two hundred seventy-three million, four hundred forty-three thousand, eight hundred forty".