Search a number
-
+
677120663969 is a prime number
BaseRepresentation
bin10011101101001111000…
…10010110000110100001
32101201202200222200222222
421312213202112012201
542043220342221334
61235022005440425
766630452451641
oct11664742260641
92351680880888
10677120663969
1124118aa64922
12ab292410115
134bb103a7c99
1424ab6866521
151293067ed2e
hex9da78961a1

677120663969 has 2 divisors, whose sum is σ = 677120663970. Its totient is φ = 677120663968.

The previous prime is 677120663893. The next prime is 677120663993. The reversal of 677120663969 is 969366021776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 420870075025 + 256250588944 = 648745^2 + 506212^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-677120663969 is a prime.

It is a super-2 number, since 2×6771206639692 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (677120663069) 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, 338560331984 + 338560331985.

It is an arithmetic number, because the mean of its divisors is an integer number (338560331985).

Almost surely, 2677120663969 is an apocalyptic number.

It is an amenable number.

677120663969 is a deficient number, since it is larger than the sum of its proper divisors (1).

677120663969 is an equidigital number, since it uses as much as digits as its factorization.

677120663969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30862944, while the sum is 62.

The spelling of 677120663969 in words is "six hundred seventy-seven billion, one hundred twenty million, six hundred sixty-three thousand, nine hundred sixty-nine".