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163352133 = 367217269
BaseRepresentation
bin10011011110010…
…00111001000101
3102101101011000000
421233020321011
5313304232013
624113111513
74022320200
oct1157107105
9371334000
10163352133
118423196a
1246858599
1327ac5489
14179a2937
15e51a973
hex9bc8e45

163352133 has 84 divisors (see below), whose sum is σ = 302782860. Its totient is φ = 87526656.

The previous prime is 163352131. The next prime is 163352143. The reversal of 163352133 is 331253361.

It is a happy number.

163352133 is a `hidden beast` number, since 1 + 633 + 5 + 21 + 3 + 3 = 666.

163352133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 63011844 + 100340289 = 7938^2 + 10017^2 .

It is not a de Polignac number, because 163352133 - 21 = 163352131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 163352097 and 163352106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163352131) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 607123 + ... + 607391.

Almost surely, 2163352133 is an apocalyptic number.

It is an amenable number.

163352133 is a deficient number, since it is larger than the sum of its proper divisors (139430727).

163352133 is an equidigital number, since it uses as much as digits as its factorization.

163352133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 296 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 163352133 is about 12780.9284873987. The cubic root of 163352133 is about 546.6486374102.

The spelling of 163352133 in words is "one hundred sixty-three million, three hundred fifty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 17 21 27 49 51 63 81 119 147 153 189 243 269 357 441 459 567 729 807 833 1071 1323 1377 1701 1883 2421 2499 3213 3969 4131 4573 5103 5649 7263 7497 9639 11907 12393 13181 13719 16947 21789 22491 28917 32011 35721 39543 41157 50841 65367 67473 86751 96033 118629 123471 152523 196101 202419 224077 288099 355887 370413 457569 607257 672231 864297 1067661 1111239 1372707 2016693 2592891 3202983 3333717 6050079 7778673 9608949 18150237 23336019 54450711 163352133