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44072011133537 is a prime number
BaseRepresentation
bin10100000010101010100001…
…00100010111001001100001
312210001020120020021022200112
422001111100210113021201
521234033434322233122
6233422222530501105
712166045343431442
oct1201252044271141
9183036506238615
1044072011133537
111305192036a142
124b3954b434795
131b78c8538268a
14ac514d5872c9
15516632b492e2
hex281550917261

44072011133537 has 2 divisors, whose sum is σ = 44072011133538. Its totient is φ = 44072011133536.

The previous prime is 44072011133489. The next prime is 44072011133581. The reversal of 44072011133537 is 73533111027044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38881410366016 + 5190600767521 = 6235496^2 + 2278289^2 .

It is a cyclic number.

It is not a de Polignac number, because 44072011133537 - 238 = 43797133226593 is a prime.

It is a super-2 number, since 2×440720111335372 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44072011133494 and 44072011133503.

It is not a weakly prime, because it can be changed into another prime (44072011183537) by changing a digit.

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 as a sum of consecutive naturals, namely, 22036005566768 + 22036005566769.

It is an arithmetic number, because the mean of its divisors is an integer number (22036005566769).

Almost surely, 244072011133537 is an apocalyptic number.

It is an amenable number.

44072011133537 is a deficient number, since it is larger than the sum of its proper divisors (1).

44072011133537 is an equidigital number, since it uses as much as digits as its factorization.

44072011133537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 44072011133537 in words is "forty-four trillion, seventy-two billion, eleven million, one hundred thirty-three thousand, five hundred thirty-seven".