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12471327360 = 273254994339
BaseRepresentation
bin10111001110101100…
…10101101010000000
31012012011000001221100
423213112111222000
5201020124433420
65421303454400
7621023350662
oct134726255200
935164001840
1012471327360
11531a814918
122500757400
1312399bab5b
1486446c532
154ced23190
hex2e7595a80

12471327360 has 192 divisors, whose sum is σ = 43161300000. Its totient is φ = 3318257664.

The previous prime is 12471327353. The next prime is 12471327361. The reversal of 12471327360 is 6372317421.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×124713273602 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12471327361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2872071 + ... + 2876409.

Almost surely, 212471327360 is an apocalyptic number.

12471327360 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 12471327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21580650000).

12471327360 is an abundant number, since it is smaller than the sum of its proper divisors (30689972640).

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

12471327360 is a wasteful number, since it uses less digits than its factorization.

12471327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4863 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 12471327360 in words is "twelve billion, four hundred seventy-one million, three hundred twenty-seven thousand, three hundred sixty".