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12352722480 = 2433574391861
BaseRepresentation
bin10111000000100011…
…11001011000110000
31011212212211022122000
423200101321120300
5200244244104410
65401425414000
7615053260110
oct134021713060
934785738560
1012352722480
11526987625a
122488a9a300
13121b261c57
148527d7040
154c46e5dc0
hex2e0479630

12352722480 has 320 divisors, whose sum is σ = 48763545600. Its totient is φ = 2815534080.

The previous prime is 12352722439. The next prime is 12352722533. The reversal of 12352722480 is 8422725321.

12352722480 is a `hidden beast` number, since 1 + 2 + 352 + 7 + 224 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6636750 + ... + 6638610.

It is an arithmetic number, because the mean of its divisors is an integer number (152386080).

Almost surely, 212352722480 is an apocalyptic number.

12352722480 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 12352722480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24381772800).

12352722480 is an abundant number, since it is smaller than the sum of its proper divisors (36410823120).

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

12352722480 is a wasteful number, since it uses less digits than its factorization.

12352722480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12352722480 in words is "twelve billion, three hundred fifty-two million, seven hundred twenty-two thousand, four hundred eighty".