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166545144 = 23322931283
BaseRepresentation
bin10011110110101…
…00011011111000
3102121101100222200
421323110123320
5320113421034
624305350200
74061416233
oct1173243370
9377340880
10166545144
1186012917
1247938360
132867292c
141819441a
15e94ba99
hex9ed46f8

166545144 has 144 divisors (see below), whose sum is σ = 487960200. Its totient is φ = 51246720.

The previous prime is 166545131. The next prime is 166545151. The reversal of 166545144 is 441545661.

166545144 is a `hidden beast` number, since 166 + 5 + 451 + 44 = 666.

166545144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 166545099 and 166545108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2006527 + ... + 2006609.

Almost surely, 2166545144 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 166545144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243980100).

166545144 is an abundant number, since it is smaller than the sum of its proper divisors (321415056).

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

166545144 is a wasteful number, since it uses less digits than its factorization.

166545144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 148 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 166545144 is about 12905.2370764740. The cubic root of 166545144 is about 550.1874226264.

The spelling of 166545144 in words is "one hundred sixty-six million, five hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 31 36 58 62 72 83 87 93 116 124 166 174 186 232 248 249 261 279 332 348 372 498 522 558 664 696 744 747 899 961 996 1044 1116 1494 1798 1922 1992 2088 2232 2407 2573 2697 2883 2988 3596 3844 4814 5146 5394 5766 5976 7192 7221 7688 7719 8091 8649 9628 10292 10788 11532 14442 15438 16182 17298 19256 20584 21576 21663 23064 23157 27869 28884 30876 32364 34596 43326 46314 55738 57768 61752 64728 69192 74617 79763 83607 86652 92628 111476 149234 159526 167214 173304 185256 222952 223851 239289 250821 298468 319052 334428 447702 478578 501642 596936 638104 668856 671553 717867 895404 957156 1003284 1343106 1435734 1790808 1914312 2006568 2313127 2686212 2871468 4626254 5372424 5742936 6939381 9252508 13878762 18505016 20818143 27757524 41636286 55515048 83272572 166545144