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159418368 = 21134312
BaseRepresentation
bin10011000000010…
…00100000000000
3102002222021220000
421200020200000
5311302341433
623452520000
73644014404
oct1140104000
9362867800
10159418368
1181a9541a
1245480000
1327048ac5
141725b104
15dee0113
hex9808800

159418368 has 180 divisors, whose sum is σ = 492026535. Its totient is φ = 51425280.

The previous prime is 159418351. The next prime is 159418381. The reversal of 159418368 is 863814951.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 79709184 + 79709184 = 8928^2 + 8928^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8928.

Its product of digits (207360) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 5142513 + ... + 5142543.

Almost surely, 2159418368 is an apocalyptic number.

159418368 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 159418368

159418368 is an abundant number, since it is smaller than the sum of its proper divisors (332608167).

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

159418368 is an frugal number, since it uses more digits than its factorization.

159418368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 159418368 is about 12626.0986848670. The cubic root of 159418368 is about 542.2248945293.

The spelling of 159418368 in words is "one hundred fifty-nine million, four hundred eighteen thousand, three hundred sixty-eight".