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10074443441 is a prime number
BaseRepresentation
bin10010110000111101…
…11100111010110001
3222000002211202022212
421120132330322301
5131113024142231
64343402141505
7504440233136
oct113036747261
928002752285
1010074443441
1142aa840517
121b51ab1895
13c4725364a
146b7dc058d
153de6b542b
hex2587bceb1

10074443441 has 2 divisors, whose sum is σ = 10074443442. Its totient is φ = 10074443440.

The previous prime is 10074443387. The next prime is 10074443447. The reversal of 10074443441 is 14434447001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7719379600 + 2355063841 = 87860^2 + 48529^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10074443441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10074443398 and 10074443407.

It is not a weakly prime, because it can be changed into another prime (10074443447) 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 as a sum of consecutive naturals, namely, 5037221720 + 5037221721.

It is an arithmetic number, because the mean of its divisors is an integer number (5037221721).

Almost surely, 210074443441 is an apocalyptic number.

It is an amenable number.

10074443441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10074443441 is an equidigital number, since it uses as much as digits as its factorization.

10074443441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 10074443441 in words is "ten billion, seventy-four million, four hundred forty-three thousand, four hundred forty-one".