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159314848000 = 2853711194183
BaseRepresentation
bin1001010001011111100…
…1111010100100000000
3120020012220222211010221
42110113321322210000
510102234100114000
6201104354032424
714336653602340
oct2242771724400
9506186884127
10159314848000
1161624095340
1226a62278714
131203c328939
1479d4922d20
15422674e61a
hex2517e7a900

159314848000 has 1152 divisors, whose sum is σ = 539977052160. Its totient is φ = 45342720000.

The previous prime is 159314847997. The next prime is 159314848013. The reversal of 159314848000 is 848413951.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1919455959 + ... + 1919456041.

It is an arithmetic number, because the mean of its divisors is an integer number (468730080).

Almost surely, 2159314848000 is an apocalyptic number.

159314848000 is a gapful number since it is divisible by the number (10) 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 159314848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269988526080).

159314848000 is an abundant number, since it is smaller than the sum of its proper divisors (380662204160).

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

159314848000 is a wasteful number, since it uses less digits than its factorization.

159314848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 159314848000 in words is "one hundred fifty-nine billion, three hundred fourteen million, eight hundred forty-eight thousand".