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12383539200 = 21234521493
BaseRepresentation
bin10111000100001110…
…11101000000000000
31011222000210222020000
423202013131000000
5200330141223300
65404450120000
7615606226554
oct134207350000
934860728200
1012383539200
11528520431a
122497280000
1312247618b6
14856939864
154c7281c00
hex2e21dd000

12383539200 has 390 divisors, whose sum is σ = 45902314854. Its totient is φ = 3300065280.

The previous prime is 12383539193. The next prime is 12383539229. The reversal of 12383539200 is 293538321.

12383539200 is a `hidden beast` number, since 1 + 23 + 83 + 539 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2453815296 + 9929723904 = 49536^2 + 99648^2 .

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 29 ways as a sum of consecutive naturals, for example, 8293654 + ... + 8295146.

Almost surely, 212383539200 is an apocalyptic number.

12383539200 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 12383539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22951157427).

12383539200 is an abundant number, since it is smaller than the sum of its proper divisors (33518775654).

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

12383539200 is an equidigital number, since it uses as much as digits as its factorization.

12383539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12383539200 in words is "twelve billion, three hundred eighty-three million, five hundred thirty-nine thousand, two hundred".