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442215690049 = 72949992
BaseRepresentation
bin1100110111101100001…
…10111110111101000001
31120021102202211121211201
412123312012332331001
524221124204040144
6535052344541201
743643342226400
oct6336606767501
91507382747751
10442215690049
111605a7257141
1271855181801
13329157569b3
1417590b33637
15b782b9b1d4
hex66f61bef41

442215690049 has 9 divisors (see below), whose sum is σ = 514419585057. Its totient is φ = 379038030084.

The previous prime is 442215690031. The next prime is 442215690061. The reversal of 442215690049 is 940096512244.

It is a happy number.

The square root of 442215690049 is 664993.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 442215690049 - 211 = 442215688001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442215689990 and 442215690008.

It is not an unprimeable number, because it can be changed into a prime (442215690089) 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 in 8 ways as a sum of consecutive naturals, for example, 4607452 + ... + 4702450.

It is an arithmetic number, because the mean of its divisors is an integer number (57157731673).

Almost surely, 2442215690049 is an apocalyptic number.

442215690049 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

442215690049 is the 664993-rd square number.

442215690049 is the 332497-th centered octagonal number.

It is an amenable number.

442215690049 is a deficient number, since it is larger than the sum of its proper divisors (72203895008).

442215690049 is an frugal number, since it uses more digits than its factorization.

442215690049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190012 (or 95006 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 442215690049 in words is "four hundred forty-two billion, two hundred fifteen million, six hundred ninety thousand, forty-nine".

Divisors: 1 7 49 94999 664993 4654951 9024810001 63173670007 442215690049