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166133484 = 223311212713
BaseRepresentation
bin10011110011011…
…11111011101100
3102120121110022000
421321233323230
5320012232414
624252452300
74055053116
oct1171577354
9376543260
10166133484
1185861600
124777a090
132855a44a
14180c83b6
15e8b9b09
hex9e6feec

166133484 has 72 divisors (see below), whose sum is σ = 473469360. Its totient is φ = 50339520.

The previous prime is 166133483. The next prime is 166133509. The reversal of 166133484 is 484331661.

It is a happy number.

166133484 is a `hidden beast` number, since 1 + 6 + 613 + 34 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (166133483) by changing a digit.

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, 6712 + ... + 19424.

Almost surely, 2166133484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166133484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236734680).

166133484 is an abundant number, since it is smaller than the sum of its proper divisors (307335876).

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

166133484 is a wasteful number, since it uses less digits than its factorization.

166133484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12748 (or 12729 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 166133484 is about 12889.2778696093. The cubic root of 166133484 is about 549.7337377864.

The spelling of 166133484 in words is "one hundred sixty-six million, one hundred thirty-three thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 12713 13068 25426 38139 50852 76278 114417 139843 152556 228834 279686 343251 419529 457668 559372 686502 839058 1258587 1373004 1538273 1678116 2517174 3076546 3775761 4614819 5034348 6153092 7551522 9229638 13844457 15103044 18459276 27688914 41533371 55377828 83066742 166133484