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159114816 = 26327193167
BaseRepresentation
bin10010111101111…
…10011001000000
3102002101212111100
421132332121000
5311213133231
623442214400
73641311410
oct1136763100
9362355440
10159114816
11818a8353
1245354400
1326c708a3
14171bc640
15de801e6
hex97be640

159114816 has 336 divisors, whose sum is σ = 574812160. Its totient is φ = 41057280.

The previous prime is 159114811. The next prime is 159114817. The reversal of 159114816 is 618411951.

It is a happy number.

159114816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159114811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2374815 + ... + 2374881.

Almost surely, 2159114816 is an apocalyptic number.

159114816 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 159114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287406080).

159114816 is an abundant number, since it is smaller than the sum of its proper divisors (415697344).

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

159114816 is a wasteful number, since it uses less digits than its factorization.

159114816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The square root of 159114816 is about 12614.0721418581. The cubic root of 159114816 is about 541.8805217686.

The spelling of 159114816 in words is "one hundred fifty-nine million, one hundred fourteen thousand, eight hundred sixteen".