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312672577073 is a prime number
BaseRepresentation
bin1001000110011001011…
…11001110011000110001
31002220001200121122101112
410203030233032120301
520110323134431243
6355350110243105
731406214024233
oct4431457163061
91086050548345
10312672577073
11110670577a9a
12507214b6495
132363c42081c
14111c21da253
1581eeed6818
hex48ccbce631

312672577073 has 2 divisors, whose sum is σ = 312672577074. Its totient is φ = 312672577072.

The previous prime is 312672577039. The next prime is 312672577109. The reversal of 312672577073 is 370775276213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192771049249 + 119901527824 = 439057^2 + 346268^2 .

It is a cyclic number.

It is not a de Polignac number, because 312672577073 - 236 = 243953100337 is a prime.

It is a super-2 number, since 2×3126725770732 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312672577573) 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, 156336288536 + 156336288537.

It is an arithmetic number, because the mean of its divisors is an integer number (156336288537).

Almost surely, 2312672577073 is an apocalyptic number.

It is an amenable number.

312672577073 is a deficient number, since it is larger than the sum of its proper divisors (1).

312672577073 is an equidigital number, since it uses as much as digits as its factorization.

312672577073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2593080, while the sum is 50.

The spelling of 312672577073 in words is "three hundred twelve billion, six hundred seventy-two million, five hundred seventy-seven thousand, seventy-three".