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155271168 = 2143613
BaseRepresentation
bin10010100000101…
…00000000000000
3101211011121000000
421100110000000
5304222134133
623224000000
73563532423
oct1120240000
9354147000
10155271168
117a712588
1244000000
1326226240
141689b9ba
15d971413
hex9414000

155271168 has 210 divisors, whose sum is σ = 501400634. Its totient is φ = 47775744.

The previous prime is 155271167. The next prime is 155271199. The reversal of 155271168 is 861172551.

155271168 is a `hidden beast` number, since 15 + 527 + 116 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107495424 + 47775744 = 10368^2 + 6912^2 .

It is a super-2 number, since 2×1552711682 = 48218271224168448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155271167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11943930 + ... + 11943942.

Almost surely, 2155271168 is an apocalyptic number.

155271168 is a gapful number since it is divisible by the number (18) 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 155271168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250700317).

155271168 is an abundant number, since it is smaller than the sum of its proper divisors (346129466).

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

155271168 is an frugal number, since it uses more digits than its factorization.

155271168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 18 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 155271168 is about 12460.7852080035. The cubic root of 155271168 is about 537.4816065817.

The spelling of 155271168 in words is "one hundred fifty-five million, two hundred seventy-one thousand, one hundred sixty-eight".