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12755044235682 = 235721753733811
BaseRepresentation
bin1011100110011100001111…
…1000010111100110100010
31200011100222222000101200000
42321213003320113212202
53132434312311020212
643043330400240430
72454343613065200
oct271470370274642
950140888011600
1012755044235682
114078424a47471
12152001a610116
13716a45975888
143214c150c070
15171bc46111dc
hexb99c3e179a2

12755044235682 has 576 divisors, whose sum is σ = 36059180137344. Its totient is φ = 3356477429760.

The previous prime is 12755044235671. The next prime is 12755044235683. The reversal of 12755044235682 is 28653244055721.

12755044235682 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 50 + 4 + 4 + 23 + 568 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12755044235683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15727551057 + ... + 15727551867.

It is an arithmetic number, because the mean of its divisors is an integer number (62602743294).

Almost surely, 212755044235682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12755044235682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18029590068672).

12755044235682 is an abundant number, since it is smaller than the sum of its proper divisors (23304135901662).

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

12755044235682 is a wasteful number, since it uses less digits than its factorization.

12755044235682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 12755044235682 in words is "twelve trillion, seven hundred fifty-five billion, forty-four million, two hundred thirty-five thousand, six hundred eighty-two".