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10255014720 = 26345172372
BaseRepresentation
bin10011000110011111…
…10001101101000000
3222110200121201120000
421203033301231000
5132000240432340
64413332320000
7512062121046
oct114317615500
928420551500
1010255014720
114392763385
121ba2473000
13c75797562
146d3d86396
15400482d30
hex2633f1b40

10255014720 has 630 divisors, whose sum is σ = 39826561698. Its totient is φ = 2504245248.

The previous prime is 10255014719. The next prime is 10255014733. The reversal of 10255014720 is 2741055201.

10255014720 is a `hidden beast` number, since 102 + 550 + 1 + 4 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 821166336 + 9433848384 = 28656^2 + 97128^2 .

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 polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 277162542 + ... + 277162578.

Almost surely, 210255014720 is an apocalyptic number.

10255014720 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 10255014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19913280849).

10255014720 is an abundant number, since it is smaller than the sum of its proper divisors (29571546978).

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

10255014720 is an equidigital number, since it uses as much as digits as its factorization.

10255014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 10255014720 its reverse (2741055201), we get a palindrome (12996069921).

The spelling of 10255014720 in words is "ten billion, two hundred fifty-five million, fourteen thousand, seven hundred twenty".