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42684549664 = 257669173933
BaseRepresentation
bin100111110000001100…
…101000101000100000
311002011202111210022211
4213300030220220200
51144404221042124
631335314011504
73040522454131
oct476014505040
9132152453284
1042684549664
1117114351a29
128332b76b94
1340432b96a3
1420ccd3bc88
15119c518e94
hex9f0328a20

42684549664 has 24 divisors (see below), whose sum is σ = 84046648140. Its totient is φ = 21339369216.

The previous prime is 42684549623. The next prime is 42684549683. The reversal of 42684549664 is 46694548624.

It can be written as a sum of positive squares in 2 ways, for example, as 31722459664 + 10962090000 = 178108^2 + 104700^2 .

It is a super-3 number, since 3×426845496643 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42684549599 and 42684549608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158442 + ... + 332374.

Almost surely, 242684549664 is an apocalyptic number.

It is an amenable number.

42684549664 is a deficient number, since it is larger than the sum of its proper divisors (41362098476).

42684549664 is a wasteful number, since it uses less digits than its factorization.

42684549664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181612 (or 181604 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 58.

The spelling of 42684549664 in words is "forty-two billion, six hundred eighty-four million, five hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 7669 15338 30676 61352 122704 173933 245408 347866 695732 1391464 2782928 5565856 1333892177 2667784354 5335568708 10671137416 21342274832 42684549664