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159426902580400 = 245271331152127031
BaseRepresentation
bin100100001111111101110111…
…111001010101110010110000
3202220111001200221210200020101
4210033331313321111302300
5131344022244030033100
61323023412530322144
745403133160451660
oct4417756771256260
9686431627720211
10159426902580400
114688662a28a604
1215a6a003129354
136ac5b7a7c8660
142b524361c81a0
1513670d624486a
hex90ff77e55cb0

159426902580400 has 480 divisors, whose sum is σ = 473854147393536. Its totient is φ = 50195358720000.

The previous prime is 159426902580373. The next prime is 159426902580431. The reversal of 159426902580400 is 4085209624951.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5897914885 + ... + 5897941915.

Almost surely, 2159426902580400 is an apocalyptic number.

159426902580400 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 159426902580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236927073696768).

159426902580400 is an abundant number, since it is smaller than the sum of its proper divisors (314427244813136).

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

159426902580400 is a wasteful number, since it uses less digits than its factorization.

159426902580400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27901 (or 27890 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 159426902580400 in words is "one hundred fifty-nine trillion, four hundred twenty-six billion, nine hundred two million, five hundred eighty thousand, four hundred".