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5256465404224 = 26971734894361
BaseRepresentation
bin100110001111101110111…
…0000001101000101000000
3200121111212010000112210011
41030133131300031011000
51142110220120413344
615102441544114304
71051524053504656
oct114373560150500
920544763015704
105256465404224
111747288759691
1270a8a3765994
132c18b4780218
141425b2b14dd6
1591aece55d34
hex4c7ddc0d140

5256465404224 has 56 divisors (see below), whose sum is σ = 10599249924648. Its totient is φ = 2586101514240.

The previous prime is 5256465404221. The next prime is 5256465404227. The reversal of 5256465404224 is 4224045646525.

It is an interprime number because it is at equal distance from previous prime (5256465404221) and next prime (5256465404227).

It can be written as a sum of positive squares in 4 ways, for example, as 1717672360000 + 3538793044224 = 1310600^2 + 1881168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256465404221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1373197 + ... + 3521164.

It is an arithmetic number, because the mean of its divisors is an integer number (189272320083).

Almost surely, 25256465404224 is an apocalyptic number.

It is an amenable number.

5256465404224 is an abundant number, since it is smaller than the sum of its proper divisors (5342784520424).

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

5256465404224 is a wasteful number, since it uses less digits than its factorization.

5256465404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894643 (or 4894633 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 49.

The spelling of 5256465404224 in words is "five trillion, two hundred fifty-six billion, four hundred sixty-five million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 97 173 194 346 388 692 776 1384 1552 2768 3104 5536 6208 11072 16781 33562 67124 134248 268496 536992 1073984 4894361 9788722 19577444 39154888 78309776 156619552 313239104 474753017 846724453 949506034 1693448906 1899012068 3386897812 3798024136 6773795624 7596048272 13547591248 15192096544 27095182496 30384193088 54190364992 82132271941 164264543882 328529087764 657058175528 1314116351056 2628232702112 5256465404224