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168045696 = 27327213229
BaseRepresentation
bin10100000010000…
…10110010000000
3102201012121100200
422001002302000
5321004430241
624401445200
74110236100
oct1201026200
9381177320
10168045696
1186948245
1248340800
1328a79930
1418465200
15eb464b6
hexa042c80

168045696 has 288 divisors, whose sum is σ = 608435100. Its totient is φ = 44126208.

The previous prime is 168045643. The next prime is 168045743. The reversal of 168045696 is 696540861.

168045696 is a `hidden beast` number, since 1 + 6 + 80 + 4 + 569 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 167340096 + 705600 = 12936^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733710 + ... + 733938.

Almost surely, 2168045696 is an apocalyptic number.

168045696 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 168045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304217550).

168045696 is an abundant number, since it is smaller than the sum of its proper divisors (440389404).

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

168045696 is a wasteful number, since it uses less digits than its factorization.

168045696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 168045696 is about 12963.2440384342. The cubic root of 168045696 is about 551.8348592327.

It can be divided in two parts, 16804 and 5696, that added together give a square (22500 = 1502).

The spelling of 168045696 in words is "one hundred sixty-eight million, forty-five thousand, six hundred ninety-six".