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166444146 = 234112331131
BaseRepresentation
bin10011110101110…
…11110001110010
3102121012020110000
421322323301302
5320102203041
624303250430
74060515621
oct1172736162
9377166400
10166444146
1185a53a50
12478a9a16
132863897b
14181696b8
15e92bbb6
hex9ebbc72

166444146 has 160 divisors (see below), whose sum is σ = 441593856. Its totient is φ = 46332000.

The previous prime is 166444121. The next prime is 166444183. The reversal of 166444146 is 641444661.

166444146 is a `hidden beast` number, since 1 + 6 + 644 + 4 + 1 + 4 + 6 = 666.

It is a super-3 number, since 3×1664441463 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 166444146.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1270501 + ... + 1270631.

Almost surely, 2166444146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166444146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220796928).

166444146 is an abundant number, since it is smaller than the sum of its proper divisors (275149710).

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

166444146 is a wasteful number, since it uses less digits than its factorization.

166444146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 166444146 is about 12901.3234204868. The cubic root of 166444146 is about 550.0761833863.

The spelling of 166444146 in words is "one hundred sixty-six million, four hundred forty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 23 27 31 33 46 54 62 66 69 81 93 99 131 138 162 186 198 207 253 262 279 297 341 393 414 506 558 594 621 682 713 759 786 837 891 1023 1179 1242 1426 1441 1518 1674 1782 1863 2046 2139 2277 2358 2511 2882 3013 3069 3537 3726 4061 4278 4323 4554 5022 6026 6138 6417 6831 7074 7843 8122 8646 9039 9207 10611 12183 12834 12969 13662 15686 18078 18414 19251 20493 21222 23529 24366 25938 27117 27621 33143 36549 38502 38907 40986 44671 47058 54234 55242 57753 66286 70587 73098 77814 81351 89342 93403 99429 109647 115506 116721 134013 141174 162702 186806 198858 211761 219294 233442 244053 268026 280209 298287 328941 402039 423522 488106 560418 596574 635283 657882 804078 840627 894861 1027433 1206117 1270566 1681254 1789722 2054866 2412234 2521881 2684583 3082299 3618351 5043762 5369166 6164598 7236702 7565643 9246897 15131286 18493794 27740691 55481382 83222073 166444146