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166368096 = 2532577667
BaseRepresentation
bin10011110101010…
…01001101100000
3102121001101010100
421322221031200
5320042234341
624301502400
74060051116
oct1172511540
9377041110
10166368096
1185a018a4
1247871a00
132861017b
1418149ab6
15e9143b6
hex9ea9360

166368096 has 36 divisors (see below), whose sum is σ = 473110092. Its totient is φ = 55455936.

The previous prime is 166368091. The next prime is 166368101. The reversal of 166368096 is 690863661.

166368096 is a `hidden beast` number, since 1 + 6 + 636 + 8 + 0 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (166368091) and next prime (166368101).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166368091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 288546 + ... + 289121.

It is an arithmetic number, because the mean of its divisors is an integer number (13141947).

Almost surely, 2166368096 is an apocalyptic number.

166368096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166368096 is an abundant number, since it is smaller than the sum of its proper divisors (306741996).

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

166368096 is a wasteful number, since it uses less digits than its factorization.

166368096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577683 (or 577672 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 166368096 is about 12898.3757116933. The cubic root of 166368096 is about 549.9923921813.

The spelling of 166368096 in words is "one hundred sixty-six million, three hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 577667 1155334 1733001 2310668 3466002 4621336 5199003 6932004 9242672 10398006 13864008 18485344 20796012 27728016 41592024 55456032 83184048 166368096