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133643745 = 32529102409
BaseRepresentation
bin1111111011100…
…11110111100001
3100022110210202100
413331303313201
5233203044440
621132241013
73211644624
oct775636741
9308423670
10133643745
1169490584
1238910169
13218c3151
1413a6bdbb
15baed230
hex7f73de1

133643745 has 24 divisors (see below), whose sum is σ = 239639400. Its totient is φ = 68818176.

The previous prime is 133643707. The next prime is 133643767. The reversal of 133643745 is 547346331.

133643745 is a `hidden beast` number, since 1 + 3 + 3 + 643 + 7 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57744801 + 75898944 = 7599^2 + 8712^2 .

It is not a de Polignac number, because 133643745 - 210 = 133642721 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49900 + ... + 52509.

It is an arithmetic number, because the mean of its divisors is an integer number (9984975).

Almost surely, 2133643745 is an apocalyptic number.

133643745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133643745 is a deficient number, since it is larger than the sum of its proper divisors (105995655).

133643745 is a wasteful number, since it uses less digits than its factorization.

133643745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102449 (or 102446 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 133643745 is about 11560.4387892502. The cubic root of 133643745 is about 511.2690999813.

The spelling of 133643745 in words is "one hundred thirty-three million, six hundred forty-three thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 102409 307227 512045 921681 1536135 2969861 4608405 8909583 14849305 26728749 44547915 133643745