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1468505649 = 3131916711867
BaseRepresentation
bin101011110000111…
…1001111000110001
310210100020211001010
41113201321320301
511001414140044
6401415101133
751251043402
oct12741717061
93710224033
101468505649
11693a2a036
1234b9717a9
131a5316070
14dd0659a9
1588dc7bb9
hex57879e31

1468505649 has 32 divisors (see below), whose sum is σ = 2233082880. Its totient is φ = 850934592.

The previous prime is 1468505579. The next prime is 1468505657. The reversal of 1468505649 is 9465058641.

It is not a de Polignac number, because 1468505649 - 217 = 1468374577 is a prime.

It is a super-2 number, since 2×14685056492 = 4313017682289822402, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1468505598 and 1468505607.

It is not an unprimeable number, because it can be changed into a prime (1468505659) 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 31 ways as a sum of consecutive naturals, for example, 117814 + ... + 129680.

It is an arithmetic number, because the mean of its divisors is an integer number (69783840).

Almost surely, 21468505649 is an apocalyptic number.

1468505649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1468505649 is a deficient number, since it is larger than the sum of its proper divisors (764577231).

1468505649 is a wasteful number, since it uses less digits than its factorization.

1468505649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12069.

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 1468505649 is about 38321.0862189474. The cubic root of 1468505649 is about 1136.6459456305.

The spelling of 1468505649 in words is "one billion, four hundred sixty-eight million, five hundred five thousand, six hundred forty-nine".

Divisors: 1 3 13 19 39 57 167 247 501 741 2171 3173 6513 9519 11867 35601 41249 123747 154271 225473 462813 676419 1981789 2931149 5945367 8793447 25763257 37653991 77289771 112961973 489501883 1468505649