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10273710720 = 2735713127463
BaseRepresentation
bin10011001000101110…
…00110001010000000
3222111222210120122110
421210113012022000
5132020032220340
64415241135320
7512410046250
oct114427061200
928458716573
1010273710720
1143a2272a19
121ba878a540
13c79612290
146d6651960
15401e27680
hex2645c6280

10273710720 has 512 divisors, whose sum is σ = 40709652480. Its totient is φ = 2145927168.

The previous prime is 10273710719. The next prime is 10273710767. The reversal of 10273710720 is 2701737201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22189209 + ... + 22189671.

It is an arithmetic number, because the mean of its divisors is an integer number (79511040).

Almost surely, 210273710720 is an apocalyptic number.

10273710720 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 10273710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20354826240).

10273710720 is an abundant number, since it is smaller than the sum of its proper divisors (30435941760).

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

10273710720 is a wasteful number, since it uses less digits than its factorization.

10273710720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The spelling of 10273710720 in words is "ten billion, two hundred seventy-three million, seven hundred ten thousand, seven hundred twenty".