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166648944 = 24371124099
BaseRepresentation
bin10011110111011…
…01110001110000
3102121120122101010
421323231301300
5320130231234
624311510520
74062330660
oct1173556160
9377518333
10166648944
1186083900
1247988440
13286aac57
14181c01a0
15e96c6e9
hex9eedc70

166648944 has 120 divisors (see below), whose sum is σ = 540937600. Its totient is φ = 43274880.

The previous prime is 166648939. The next prime is 166648949. The reversal of 166648944 is 449846661.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (166648939) and next prime (166648949).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 166648893 and 166648902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166648949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38607 + ... + 42705.

Almost surely, 2166648944 is an apocalyptic number.

166648944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166648944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270468800).

166648944 is an abundant number, since it is smaller than the sum of its proper divisors (374288656).

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

166648944 is a wasteful number, since it uses less digits than its factorization.

166648944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4122 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 166648944 is about 12909.2580731814. The cubic root of 166648944 is about 550.3017011390.

The spelling of 166648944 in words is "one hundred sixty-six million, six hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3388 3696 4099 5082 5808 6776 8198 10164 12297 13552 16396 20328 24594 28693 32792 40656 45089 49188 57386 65584 86079 90178 98376 114772 135267 172158 180356 196752 229544 270534 315623 344316 360712 459088 495979 541068 631246 688632 721424 946869 991958 1082136 1262492 1377264 1487937 1893738 1983916 2164272 2524984 2975874 3471853 3787476 3967832 5049968 5951748 6943706 7574952 7935664 10415559 11903496 13887412 15149904 20831118 23806992 27774824 41662236 55549648 83324472 166648944