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12510328430080 = 2951329471931429
BaseRepresentation
bin1011011000001100100110…
…1011101001111000000000
31122021222100022001102112101
42312003021223221320000
53114432123034230310
642335055431240144
72430561413053045
oct266031153517000
948258308042471
1012510328430080
113a93667289728
1214a0703819054
136c994659b140
143137088191cc
1516a65068943a
hexb60c9ae9e00

12510328430080 has 640 divisors, whose sum is σ = 34328527833600. Its totient is φ = 4339368198144.

The previous prime is 12510328430059. The next prime is 12510328430099. The reversal of 12510328430080 is 8003482301521.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 8754602806 + ... + 8754604234.

It is an arithmetic number, because the mean of its divisors is an integer number (53638324740).

Almost surely, 212510328430080 is an apocalyptic number.

12510328430080 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 12510328430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17164263916800).

12510328430080 is an abundant number, since it is smaller than the sum of its proper divisors (21818199403520).

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

12510328430080 is a wasteful number, since it uses less digits than its factorization.

12510328430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 12510328430080 in words is "twelve trillion, five hundred ten billion, three hundred twenty-eight million, four hundred thirty thousand, eighty".