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42027870049 = 112186372
BaseRepresentation
bin100111001001000011…
…100110011101100001
311000110222212000020121
4213021003212131201
51142033113320144
631150215040241
73015330000244
oct471103463541
9130428760217
1042027870049
1116907700900
12818b070081
133c6a237279
142069a3d25b
15115ea52384
hex9c90e6761

42027870049 has 9 divisors (see below), whose sum is σ = 46198402131. Its totient is φ = 38205104520.

The previous prime is 42027870029. The next prime is 42027870103. The reversal of 42027870049 is 94007872024.

The square root of 42027870049 is 205007.

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

It can be written as a sum of positive squares in only one way, i.e., 112678225 + 41915191824 = 10615^2 + 204732^2 .

It is not a de Polignac number, because 42027870049 - 221 = 42025772897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42027869987 and 42027870014.

It is not an unprimeable number, because it can be changed into a prime (42027870029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2245759 + ... + 2264395.

Almost surely, 242027870049 is an apocalyptic number.

42027870049 is the 205007-th square number.

42027870049 is the 102504-th centered octagonal number.

It is an amenable number.

42027870049 is a deficient number, since it is larger than the sum of its proper divisors (4170532082).

42027870049 is an frugal number, since it uses more digits than its factorization.

42027870049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37296 (or 18648 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 42027870049 in words is "forty-two billion, twenty-seven million, eight hundred seventy thousand, forty-nine".

Divisors: 1 11 121 18637 205007 2255077 347337769 3820715459 42027870049