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12465495507920 = 24571331596789157
BaseRepresentation
bin1011010101100101100101…
…1011101000001111010000
31122010200121211000000011212
42311121121123220033100
53113213313322223140
642302323010155252
72424413412363140
oct265313133501720
948120554000155
1012465495507920
113a7665026a744
121493a91282b28
136c5650188230
1431149443c920
151693c9750765
hexb56596e83d0

12465495507920 has 1280 divisors, whose sum is σ = 38675924582400. Its totient is φ = 3632310190080.

The previous prime is 12465495507847. The next prime is 12465495507947. The reversal of 12465495507920 is 2970559456421.

12465495507920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×124654955079203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 12465495507920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 79398060482 + ... + 79398060638.

It is an arithmetic number, because the mean of its divisors is an integer number (30215566080).

Almost surely, 212465495507920 is an apocalyptic number.

12465495507920 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 12465495507920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19337962291200).

12465495507920 is an abundant number, since it is smaller than the sum of its proper divisors (26210429074480).

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

12465495507920 is a wasteful number, since it uses less digits than its factorization.

12465495507920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 59.

The spelling of 12465495507920 in words is "twelve trillion, four hundred sixty-five billion, four hundred ninety-five million, five hundred seven thousand, nine hundred twenty".