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38146091540993 is a prime number
BaseRepresentation
bin10001010110001100101000…
…01111000110001000000001
312000001201201201002101101222
420223012110033012020001
514444441143413302433
6213044023400004425
711014651465124462
oct1053062417061001
9160051651071358
1038146091540993
1111177737232327
124340b74a60715
131839212932607
1495c3d0294d69
1546240262bb98
hex22b1943c6201

38146091540993 has 2 divisors, whose sum is σ = 38146091540994. Its totient is φ = 38146091540992.

The previous prime is 38146091540989. The next prime is 38146091541013. The reversal of 38146091540993 is 39904519064183.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37593489610609 + 552601930384 = 6131353^2 + 743372^2 .

It is a cyclic number.

It is not a de Polignac number, because 38146091540993 - 22 = 38146091540989 is a prime.

It is not a weakly prime, because it can be changed into another prime (38146091840993) 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, 19073045770496 + 19073045770497.

It is an arithmetic number, because the mean of its divisors is an integer number (19073045770497).

Almost surely, 238146091540993 is an apocalyptic number.

It is an amenable number.

38146091540993 is a deficient number, since it is larger than the sum of its proper divisors (1).

38146091540993 is an equidigital number, since it uses as much as digits as its factorization.

38146091540993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25194240, while the sum is 62.

The spelling of 38146091540993 in words is "thirty-eight trillion, one hundred forty-six billion, ninety-one million, five hundred forty thousand, nine hundred ninety-three".