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12527446680 = 233257293741113
BaseRepresentation
bin10111010101011000…
…11010101010011000
31012100001121020011200
423222230122222120
5201124011243210
65431030354200
7622304353110
oct135254325230
935301536150
1012527446680
115349465121
1225174bb960
131248509658
1486baba040
154d4c0b0c0
hex2eab1aa98

12527446680 has 768 divisors, whose sum is σ = 51089875200. Its totient is φ = 2601123840.

The previous prime is 12527446661. The next prime is 12527446691. The reversal of 12527446680 is 8664472521.

12527446680 is a `hidden beast` number, since 1 + 2 + 527 + 4 + 46 + 6 + 80 = 666.

12527446680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110862304 + ... + 110862416.

It is an arithmetic number, because the mean of its divisors is an integer number (66523275).

Almost surely, 212527446680 is an apocalyptic number.

12527446680 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 12527446680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25544937600).

12527446680 is an abundant number, since it is smaller than the sum of its proper divisors (38562428520).

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

12527446680 is a wasteful number, since it uses less digits than its factorization.

12527446680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 12527446680 in words is "twelve billion, five hundred twenty-seven million, four hundred forty-six thousand, six hundred eighty".