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12385980684 = 223272113159349
BaseRepresentation
bin10111000100100001…
…10001000100001100
31011222012102000022100
423202100301010030
5200331302340214
65405014315100
7615636045600
oct134220610414
934865360270
1012385980684
115286621680
122498058a90
131225107c6c
14856db3500
154c75b5309
hex2e243110c

12385980684 has 432 divisors, whose sum is σ = 41827968000. Its totient is φ = 3051820800.

The previous prime is 12385980577. The next prime is 12385980713. The reversal of 12385980684 is 48608958321.

12385980684 is a `hidden beast` number, since 12 + 38 + 598 + 0 + 6 + 8 + 4 = 666.

It is a super-2 number, since 2×123859806842 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12385980684.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35489742 + ... + 35490090.

It is an arithmetic number, because the mean of its divisors is an integer number (96824000).

Almost surely, 212385980684 is an apocalyptic number.

12385980684 is a gapful number since it is divisible by the number (14) 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 12385980684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984000).

12385980684 is an abundant number, since it is smaller than the sum of its proper divisors (29441987316).

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

12385980684 is a wasteful number, since it uses less digits than its factorization.

12385980684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 12385980684 in words is "twelve billion, three hundred eighty-five million, nine hundred eighty thousand, six hundred eighty-four".