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126543000640 = 26571743109709
BaseRepresentation
bin111010111011010001…
…1001111010001000000
3110002121222222111000111
41311312203033101000
54033130002010030
6134044423401104
712066565521010
oct1656643172100
9402558874014
10126543000640
1149737252371
1220636bb3194
13bc18912794
1461a6301c40
1534595ec62a
hex1d768cf440

126543000640 has 448 divisors, whose sum is σ = 377069299200. Its totient is φ = 39462764544.

The previous prime is 126543000611. The next prime is 126543000659. The reversal of 126543000640 is 46000345621.

It is a tau number, because it is divible by the number of its divisors (448).

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, 178480606 + ... + 178481314.

Almost surely, 2126543000640 is an apocalyptic number.

126543000640 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 126543000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188534649600).

126543000640 is an abundant number, since it is smaller than the sum of its proper divisors (250526298560).

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

126543000640 is a wasteful number, since it uses less digits than its factorization.

126543000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 126543000640 in words is "one hundred twenty-six billion, five hundred forty-three million, six hundred forty", and thus it is an aban number.