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159308941968 = 243311293189419
BaseRepresentation
bin1001010001011110001…
…1011000101010010000
3120020012111212202121000
42110113203120222100
510102231042120333
6201104023302000
714336552443521
oct2242743305220
9506174782530
10159308941968
1161620821020
1226a602aa900
131203b03b647
1479d3c26848
154225e84713
hex25178d8a90

159308941968 has 640 divisors, whose sum is σ = 539965440000. Its totient is φ = 44493926400.

The previous prime is 159308941963. The next prime is 159308941973. The reversal of 159308941968 is 869149803951.

159308941968 is a `hidden beast` number, since 1 + 59 + 30 + 89 + 419 + 68 = 666.

159308941968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (159308941963) and next prime (159308941973).

It is not an unprimeable number, because it can be changed into a prime (159308941963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 380212063 + ... + 380212481.

It is an arithmetic number, because the mean of its divisors is an integer number (843696000).

Almost surely, 2159308941968 is an apocalyptic number.

159308941968 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 159308941968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720000).

159308941968 is an abundant number, since it is smaller than the sum of its proper divisors (380656498032).

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

159308941968 is a wasteful number, since it uses less digits than its factorization.

159308941968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 159308941968 in words is "one hundred fifty-nine billion, three hundred eight million, nine hundred forty-one thousand, nine hundred sixty-eight".