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52646423040 = 29345307827
BaseRepresentation
bin110001000001111110…
…001010101000000000
312000220000112101120000
4301001332022220000
51330304441014130
640104015320000
73542425132551
oct610176125000
9160800471500
1052646423040
1120366595932
12a253220000
134c70117c13
142795db8328
151581d95260
hexc41f8aa00

52646423040 has 400 divisors, whose sum is σ = 189405814752. Its totient is φ = 13976395776.

The previous prime is 52646423029. The next prime is 52646423047. The reversal of 52646423040 is 4032464625.

52646423040 is a `hidden beast` number, since 5 + 2 + 6 + 4 + 642 + 3 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 52646422986 and 52646423004.

It is not an unprimeable number, because it can be changed into a prime (52646423047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63659107 + ... + 63659933.

Almost surely, 252646423040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52646423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94702907376).

52646423040 is an abundant number, since it is smaller than the sum of its proper divisors (136759391712).

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

52646423040 is an equidigital number, since it uses as much as digits as its factorization.

52646423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 52646423040 its reverse (4032464625), we get a palindrome (56678887665).

The spelling of 52646423040 in words is "fifty-two billion, six hundred forty-six million, four hundred twenty-three thousand, forty".