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166651056 = 243211138093
BaseRepresentation
bin10011110111011…
…10010010110000
3102121120202021100
421323232102300
5320130313211
624311524400
74062340065
oct1173562260
9377522240
10166651056
1186085450
1247989700
13286abbc0
14181c0c6c
15e96d156
hex9eee4b0

166651056 has 120 divisors (see below), whose sum is σ = 547996176. Its totient is φ = 46609920.

The previous prime is 166651007. The next prime is 166651057. The reversal of 166651056 is 650156661.

166651056 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 self number, because there is not a number n which added to its sum of digits gives 166651056.

It is not an unprimeable number, because it can be changed into a prime (166651057) 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, 16546 + ... + 24638.

Almost surely, 2166651056 is an apocalyptic number.

166651056 is a gapful number since it is divisible by the number (16) 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 166651056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273998088).

166651056 is an abundant number, since it is smaller than the sum of its proper divisors (381345120).

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

166651056 is a wasteful number, since it uses less digits than its factorization.

166651056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8131 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 166651056 is about 12909.3398746799. The cubic root of 166651056 is about 550.3040258508.

The spelling of 166651056 in words is "one hundred sixty-six million, six hundred fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 8093 10296 16186 20592 24279 32372 48558 64744 72837 89023 97116 105209 129488 145674 178046 194232 210418 267069 291348 315627 356092 388464 420836 534138 582696 631254 712184 801207 841672 946881 1068276 1157299 1165392 1262508 1424368 1602414 1683344 1893762 2136552 2314598 2525016 3204828 3471897 3787524 4273104 4629196 5050032 6409656 6943794 7575048 9258392 10415691 12819312 13887588 15150096 18516784 20831382 27775176 41662764 55550352 83325528 166651056