Search a number
-
+
45618956406 = 233844795489
BaseRepresentation
bin101010011111000110…
…100000100001110110
311100202021010002122000
4222133012200201312
51221411423101111
632542420320130
73203323505622
oct523706404166
9140667102560
1045618956406
111838a791171
128a11843046
1343c021613a
1422ca94c182
1512bee52c56
hexa9f1a0876

45618956406 has 16 divisors (see below), whose sum is σ = 101375458800. Its totient is φ = 15206318784.

The previous prime is 45618956399. The next prime is 45618956407. The reversal of 45618956406 is 60465981654.

45618956406 is a `hidden beast` number, since 4 + 5 + 6 + 189 + 56 + 406 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 844795489 = 45618956406 / (4 + 5 + 6 + 1 + 8 + 9 + 5 + 6 + 4 + 0 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45618956407) 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 7 ways as a sum of consecutive naturals, for example, 422397691 + ... + 422397798.

It is an arithmetic number, because the mean of its divisors is an integer number (6335966175).

Almost surely, 245618956406 is an apocalyptic number.

45618956406 is an abundant number, since it is smaller than the sum of its proper divisors (55756502394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45618956406 is a wasteful number, since it uses less digits than its factorization.

45618956406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844795500 (or 844795494 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 45618956406 in words is "forty-five billion, six hundred eighteen million, nine hundred fifty-six thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 844795489 1689590978 2534386467 5068772934 7603159401 15206318802 22809478203 45618956406