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12930344280 = 2334573153347
BaseRepresentation
bin11000000101011010…
…10110010101011000
31020101010201112210000
430002231112111120
5202440132004110
65535022053000
7635266053510
oct140255262530
936333645700
1012930344280
11553592a047
12260a41a160
1312b0b23ab9
148a93d6840
1550a2931c0
hex302b56558

12930344280 has 640 divisors, whose sum is σ = 52389089280. Its totient is φ = 2798115840.

The previous prime is 12930344267. The next prime is 12930344293. The reversal of 12930344280 is 8244303921.

12930344280 is a `hidden beast` number, since 1 + 2 + 9 + 30 + 344 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (12930344267) and next prime (12930344293).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37263067 + ... + 37263413.

It is an arithmetic number, because the mean of its divisors is an integer number (81857952).

Almost surely, 212930344280 is an apocalyptic number.

12930344280 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 12930344280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26194544640).

12930344280 is an abundant number, since it is smaller than the sum of its proper divisors (39458745000).

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

12930344280 is a wasteful number, since it uses less digits than its factorization.

12930344280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12930344280 in words is "twelve billion, nine hundred thirty million, three hundred forty-four thousand, two hundred eighty".