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42777700577 is a prime number
BaseRepresentation
bin100111110101101111…
…111110100011100001
311002102020210100100122
4213311233332203201
51200102042404302
631352442330025
73043033312133
oct476557764341
9132366710318
1042777700577
1117161995657
12835a1b9915
1340596a2881
1420db469053
1511a57b93a2
hex9f5bfe8e1

42777700577 has 2 divisors, whose sum is σ = 42777700578. Its totient is φ = 42777700576.

The previous prime is 42777700573. The next prime is 42777700643. The reversal of 42777700577 is 77500777724.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42668686096 + 109014481 = 206564^2 + 10441^2 .

It is a cyclic number.

It is not a de Polignac number, because 42777700577 - 22 = 42777700573 is a prime.

It is a super-2 number, since 2×427777005772 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42777700571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21388850288 + 21388850289.

It is an arithmetic number, because the mean of its divisors is an integer number (21388850289).

Almost surely, 242777700577 is an apocalyptic number.

It is an amenable number.

42777700577 is a deficient number, since it is larger than the sum of its proper divisors (1).

42777700577 is an equidigital number, since it uses as much as digits as its factorization.

42777700577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4705960, while the sum is 53.

The spelling of 42777700577 in words is "forty-two billion, seven hundred seventy-seven million, seven hundred thousand, five hundred seventy-seven".