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8966105381 is a prime number
BaseRepresentation
bin10000101100110101…
…11110100100100101
3212010212022100100002
420112122332210211
5121330310333011
64041410431045
7435121431632
oct102632764445
925125270302
108966105381
113891150752
1218a2892485
13acb7436cc
14610b11189
15377233c3b
hex2166be925

8966105381 has 2 divisors, whose sum is σ = 8966105382. Its totient is φ = 8966105380.

The previous prime is 8966105359. The next prime is 8966105411. The reversal of 8966105381 is 1835016698.

8966105381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8941404481 + 24700900 = 94559^2 + 4970^2 .

It is a cyclic number.

It is not a de Polignac number, because 8966105381 - 226 = 8898996517 is a prime.

It is a super-2 number, since 2×89661053812 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8966102381) 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, 4483052690 + 4483052691.

It is an arithmetic number, because the mean of its divisors is an integer number (4483052691).

Almost surely, 28966105381 is an apocalyptic number.

It is an amenable number.

8966105381 is a deficient number, since it is larger than the sum of its proper divisors (1).

8966105381 is an equidigital number, since it uses as much as digits as its factorization.

8966105381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 8966105381 is about 94689.5209672116. The cubic root of 8966105381 is about 2077.4692918847.

The spelling of 8966105381 in words is "eight billion, nine hundred sixty-six million, one hundred five thousand, three hundred eighty-one".