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985640447170321 is a prime number
BaseRepresentation
bin1110000000011011110100110…
…0101110101101011100010001
311210020212022021110011002221221
43200012331030232231130101
52013142213113433422241
613412140545343245041
7414416113055104315
oct34006751456553421
94706768243132857
10985640447170321
1126606784791a348
129266787b5a9781
13333c8659393687
1413557375db5b45
1578e3b838bb5d1
hex3806f4cbad711

985640447170321 has 2 divisors, whose sum is σ = 985640447170322. Its totient is φ = 985640447170320.

The previous prime is 985640447170277. The next prime is 985640447170331. The reversal of 985640447170321 is 123071744046589.

It is a happy number.

985640447170321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 745304414469696 + 240336032700625 = 27300264^2 + 15502775^2 .

It is a cyclic number.

It is not a de Polignac number, because 985640447170321 - 221 = 985640445073169 is a prime.

It is a super-2 number, since 2×9856404471703212 (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 985640447170321.

It is not a weakly prime, because it can be changed into another prime (985640447170331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 492820223585160 + 492820223585161.

It is an arithmetic number, because the mean of its divisors is an integer number (492820223585161).

It is a 1-persistent number, because it is pandigital, but 2⋅985640447170321 = 1971280894340642 is not.

Almost surely, 2985640447170321 is an apocalyptic number.

It is an amenable number.

985640447170321 is a deficient number, since it is larger than the sum of its proper divisors (1).

985640447170321 is an equidigital number, since it uses as much as digits as its factorization.

985640447170321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 985640447170321 in words is "nine hundred eighty-five trillion, six hundred forty billion, four hundred forty-seven million, one hundred seventy thousand, three hundred twenty-one".