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1468148148 = 223240781893
BaseRepresentation
bin101011110000010…
…0010100110110100
310210022120122122100
41113200202212310
511001321220043
6401403302100
751245024205
oct12740424664
93708518570
101468148148
11693805485
1234b81a930
131a521c41c
14dcdb15ac
1588d56cd3
hex578229b4

1468148148 has 18 divisors (see below), whose sum is σ = 3711152354. Its totient is φ = 489382704.

The previous prime is 1468148117. The next prime is 1468148159. The reversal of 1468148148 is 8418418641.

1468148148 is a `hidden beast` number, since 1 + 468 + 1 + 48 + 148 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1466736804 + 1411344 = 38298^2 + 1188^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

1468148148 is a modest number, since divided by 148148 gives 1468 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20390911 + ... + 20390982.

Almost surely, 21468148148 is an apocalyptic number.

1468148148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1468148148 is an abundant number, since it is smaller than the sum of its proper divisors (2243004206).

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

1468148148 is a wasteful number, since it uses less digits than its factorization.

1468148148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40781903 (or 40781898 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 1468148148 is about 38316.4213882247. The cubic root of 1468148148 is about 1136.5537010547.

The spelling of 1468148148 in words is "one billion, four hundred sixty-eight million, one hundred forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 40781893 81563786 122345679 163127572 244691358 367037037 489382716 734074074 1468148148