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1146135249 = 327127143249
BaseRepresentation
bin100010001010000…
…1010001011010001
32221212122200222200
41010110022023101
54321402311444
6305421353413
740254663120
oct10424121321
92855580880
101146135249
11538a66416
1227ba08869
131535b4c4c
14ac30bab7
156a94a969
hex4450a2d1

1146135249 has 24 divisors (see below), whose sum is σ = 1906944000. Its totient is φ = 649772928.

The previous prime is 1146135227. The next prime is 1146135311. The reversal of 1146135249 is 9425316411.

It is a happy number.

1146135249 is a `hidden beast` number, since 1 + 14 + 613 + 5 + 24 + 9 = 666.

It is not a de Polignac number, because 1146135249 - 213 = 1146127057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1146135049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63624 + ... + 79625.

It is an arithmetic number, because the mean of its divisors is an integer number (79456000).

Almost surely, 21146135249 is an apocalyptic number.

It is an amenable number.

1146135249 is a deficient number, since it is larger than the sum of its proper divisors (760808751).

1146135249 is a wasteful number, since it uses less digits than its factorization.

1146135249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143389 (or 143386 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1146135249 is about 33854.6193155380. The cubic root of 1146135249 is about 1046.5145956170.

The spelling of 1146135249 in words is "one billion, one hundred forty-six million, one hundred thirty-five thousand, two hundred forty-nine".

Divisors: 1 3 7 9 21 63 127 381 889 1143 2667 8001 143249 429747 1002743 1289241 3008229 9024687 18192623 54577869 127348361 163733607 382045083 1146135249