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42058935405 = 325934643009
BaseRepresentation
bin100111001010111010…
…000110110001101101
311000120011022021220100
4213022322012301231
51142114041413110
631153244541313
73016155023634
oct471272066155
9130504267810
1042058935405
1116923199753
128199551839
133c737c3136
14206dc0851b
15116263bbc0
hex9cae86c6d

42058935405 has 12 divisors (see below), whose sum is σ = 72902154780. Its totient is φ = 22431432192.

The previous prime is 42058935389. The next prime is 42058935419. The reversal of 42058935405 is 50453985024.

42058935405 is a `hidden beast` number, since 4 + 20 + 5 + 89 + 3 + 540 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18886180329 + 23172755076 = 137427^2 + 152226^2 .

It is not a de Polignac number, because 42058935405 - 24 = 42058935389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 934643009 = 42058935405 / (4 + 2 + 0 + 5 + 8 + 9 + 3 + 5 + 4 + 0 + 5).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 467321460 + ... + 467321549.

It is an arithmetic number, because the mean of its divisors is an integer number (6075179565).

Almost surely, 242058935405 is an apocalyptic number.

42058935405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42058935405 is a deficient number, since it is larger than the sum of its proper divisors (30843219375).

42058935405 is a wasteful number, since it uses less digits than its factorization.

42058935405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934643020 (or 934643017 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 42058935405 in words is "forty-two billion, fifty-eight million, nine hundred thirty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 45 934643009 2803929027 4673215045 8411787081 14019645135 42058935405