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10424244000 = 2535323179211
BaseRepresentation
bin10011011010101010…
…10101011100100000
3222220111001110111010
421231111111130200
5132322101302000
64442215420520
7516215416632
oct115525253440
928814043433
1010424244000
11446a239895
12202b084740
13ca1869b21
1470c638a52
1541025ed50
hex26d555720

10424244000 has 384 divisors, whose sum is σ = 36003502080. Its totient is φ = 2631552000.

The previous prime is 10424243939. The next prime is 10424244007. The reversal of 10424244000 is 44242401.

It is not an unprimeable number, because it can be changed into a prime (10424244007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49403895 + ... + 49404105.

It is an arithmetic number, because the mean of its divisors is an integer number (93759120).

Almost surely, 210424244000 is an apocalyptic number.

10424244000 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 10424244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18001751040).

10424244000 is an abundant number, since it is smaller than the sum of its proper divisors (25579258080).

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

10424244000 is a wasteful number, since it uses less digits than its factorization.

10424244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 10424244000 its reverse (44242401), we get a palindrome (10468486401).

The spelling of 10424244000 in words is "ten billion, four hundred twenty-four million, two hundred forty-four thousand".