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44102520037 = 29378925189
BaseRepresentation
bin101001000100101101…
…110000110011100101
311012211120200011000001
4221010231300303211
51210310221120122
632132130021301
73120621143422
oct510455606345
9135746604001
1044102520037
11177817a5074
128669a17831
13420acba804
1421c53aad49
151231c5d527
hexa44b70ce5

44102520037 has 24 divisors (see below), whose sum is σ = 47397882600. Its totient is φ = 40957475328.

The previous prime is 44102520031. The next prime is 44102520041. The reversal of 44102520037 is 73002520144.

It is a Cunningham number, because it is equal to 2100062+1.

It can be written as a sum of positive squares in 12 ways, for example, as 4639108321 + 39463411716 = 68111^2 + 198654^2 .

It is a de Polignac number, because none of the positive numbers 2k-44102520037 is a prime.

It is a super-2 number, since 2×441025200372 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 44102519987 and 44102520014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44102520031) 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 in 23 ways as a sum of consecutive naturals, for example, 8496639 + ... + 8501827.

It is an arithmetic number, because the mean of its divisors is an integer number (1974911775).

Almost surely, 244102520037 is an apocalyptic number.

It is an amenable number.

44102520037 is a deficient number, since it is larger than the sum of its proper divisors (3295362563).

44102520037 is an equidigital number, since it uses as much as digits as its factorization.

44102520037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 44102520037 in words is "forty-four billion, one hundred two million, five hundred twenty thousand, thirty-seven".

Divisors: 1 29 37 89 1073 2581 3293 5189 7921 95497 150481 191993 229709 293077 461821 5567797 8499233 13392809 17087377 41102069 495533933 1191960001 1520776553 44102520037