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166541984 = 2572106213
BaseRepresentation
bin10011110110100…
…11101010100000
3102121101012122122
421323103222200
5320113320414
624305323412
74061404100
oct1173235240
9377335578
10166541984
1186010504
1247936568
132867136b
1418193200
15e94ab8e
hex9ed3aa0

166541984 has 36 divisors (see below), whose sum is σ = 381414474. Its totient is φ = 71374464.

The previous prime is 166541971. The next prime is 166542043. The reversal of 166541984 is 489145661.

166541984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 159466384 + 7075600 = 12628^2 + 2660^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51539 + ... + 54674.

Almost surely, 2166541984 is an apocalyptic number.

166541984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

166541984 is an abundant number, since it is smaller than the sum of its proper divisors (214872490).

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

166541984 is a wasteful number, since it uses less digits than its factorization.

166541984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106237 (or 106222 counting only the distinct ones).

The product of its digits is 207360, while the sum is 44.

The square root of 166541984 is about 12905.1146449770. The cubic root of 166541984 is about 550.1839428827.

The spelling of 166541984 in words is "one hundred sixty-six million, five hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 106213 212426 424852 743491 849704 1486982 1699408 2973964 3398816 5204437 5947928 10408874 11895856 20817748 23791712 41635496 83270992 166541984