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12530159093760 = 2113571137612347
BaseRepresentation
bin1011011001010110011110…
…1011101000100000000000
31122100212112022221112000120
42312111213223220200000
53120243231212000020
642352135311220240
72432163010654050
oct266254753504000
948325468845016
1012530159093760
113aa1013169880
1214a4518b17680
136cb786b66869
1431466a421560
1516ae11606740
hexb6567ae8800

12530159093760 has 1536 divisors, whose sum is σ = 52192699453440. Its totient is φ = 2490708787200.

The previous prime is 12530159093747. The next prime is 12530159093783. The reversal of 12530159093760 is 6739095103521.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5338796907 + ... + 5338799253.

It is an arithmetic number, because the mean of its divisors is an integer number (33979622040).

Almost surely, 212530159093760 is an apocalyptic number.

12530159093760 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 12530159093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26096349726720).

12530159093760 is an abundant number, since it is smaller than the sum of its proper divisors (39662540359680).

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

12530159093760 is a wasteful number, since it uses less digits than its factorization.

12530159093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 51.

The spelling of 12530159093760 in words is "twelve trillion, five hundred thirty billion, one hundred fifty-nine million, ninety-three thousand, seven hundred sixty".