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42049780121 = 64170193581
BaseRepresentation
bin100111001010010111…
…001011100110011001
311000112112002011012202
4213022113023212121
51142104220430441
631152320415545
73016014143066
oct471227134631
9130475064182
1042049780121
11169190061a8
1281964775b5
133c71938bcb
14206c903c6d
15116192e19b
hex9ca5cb999

42049780121 has 8 divisors (see below), whose sum is σ = 42175910088. Its totient is φ = 41923840000.

The previous prime is 42049780111. The next prime is 42049780133. The reversal of 42049780121 is 12108794024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20324494096 + 21725286025 = 142564^2 + 147395^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 42049780121 - 26 = 42049780057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42049780111) 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, 402551 + ... + 496131.

It is an arithmetic number, because the mean of its divisors is an integer number (5271988761).

Almost surely, 242049780121 is an apocalyptic number.

It is an amenable number.

42049780121 is a deficient number, since it is larger than the sum of its proper divisors (126129967).

42049780121 is an equidigital number, since it uses as much as digits as its factorization.

42049780121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94923.

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 42049780121 in words is "forty-two billion, forty-nine million, seven hundred eighty thousand, one hundred twenty-one".

Divisors: 1 641 701 93581 449341 59985421 65600281 42049780121