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1006442445973 is a prime number
BaseRepresentation
bin11101010010101001010…
…01001111110010010101
310120012210201000120221011
432221110221033302111
5112442143231232343
62050204150252221
7132466403432236
oct16512451176225
93505721016834
101006442445973
11358914582a08
1214307b657071
1373ba3c17b53
14369d7d0908d
151b2a714929d
hexea54a4fc95

1006442445973 has 2 divisors, whose sum is σ = 1006442445974. Its totient is φ = 1006442445972.

The previous prime is 1006442445947. The next prime is 1006442446003. The reversal of 1006442445973 is 3795442446001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 518179703409 + 488262742564 = 719847^2 + 698758^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006442445973 - 225 = 1006408891541 is a prime.

It is a super-2 number, since 2×10064424459732 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006442445473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503221222986 + 503221222987.

It is an arithmetic number, because the mean of its divisors is an integer number (503221222987).

Almost surely, 21006442445973 is an apocalyptic number.

It is an amenable number.

1006442445973 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006442445973 is an equidigital number, since it uses as much as digits as its factorization.

1006442445973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 1006442445973 in words is "one trillion, six billion, four hundred forty-two million, four hundred forty-five thousand, nine hundred seventy-three".