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42581619977 = 134179890469
BaseRepresentation
bin100111101010000011…
…111111010100001001
311001220120211102100012
4213222003333110021
51144201343314402
631321155521305
73035132540441
oct475203772411
9131816742305
1042581619977
111707123a376
1283045b9235
134027b8b550
1420bd3c7121
151193486452
hex9ea0ff509

42581619977 has 8 divisors (see below), whose sum is σ = 46975596360. Its totient is φ = 38347424640.

The previous prime is 42581619961. The next prime is 42581619991. The reversal of 42581619977 is 77991618524.

It can be written as a sum of positive squares in 4 ways, for example, as 2270617801 + 40311002176 = 47651^2 + 200776^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42581619977 - 24 = 42581619961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42581619937) 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 in 7 ways as a sum of consecutive naturals, for example, 39944702 + ... + 39945767.

It is an arithmetic number, because the mean of its divisors is an integer number (5871949545).

Almost surely, 242581619977 is an apocalyptic number.

It is an amenable number.

42581619977 is a deficient number, since it is larger than the sum of its proper divisors (4393976383).

42581619977 is a wasteful number, since it uses less digits than its factorization.

42581619977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79890523.

The product of its digits is 7620480, while the sum is 59.

The spelling of 42581619977 in words is "forty-two billion, five hundred eighty-one million, six hundred nineteen thousand, nine hundred seventy-seven".

Divisors: 1 13 41 533 79890469 1038576097 3275509229 42581619977