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159987200256 = 28321326412
BaseRepresentation
bin1001010011111111111…
…0101111000100000000
3120021221210010212001100
42110333332233010000
510110123210402011
6201255212534400
714362426523112
oct2247776570400
9507853125040
10159987200256
1161939670564
122700b481400
1312118707900
147a59d413b2
1542657aed56
hex253ffaf100

159987200256 has 243 divisors, whose sum is σ = 500275753887. Its totient is φ = 49150033920.

The previous prime is 159987200213. The next prime is 159987200293. The reversal of 159987200256 is 652002789951.

The square root of 159987200256 is 399984.

It is a perfect power (a square), and thus also a powerful number.

159987200256 is a `hidden beast` number, since 1 + 599 + 8 + 7 + 20 + 0 + 25 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 958521600 + 159028678656 = 30960^2 + 398784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 249589696 + ... + 249590336.

Almost surely, 2159987200256 is an apocalyptic number.

159987200256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

159987200256 is the 399984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159987200256

159987200256 is an abundant number, since it is smaller than the sum of its proper divisors (340288553631).

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

159987200256 is an frugal number, since it uses more digits than its factorization.

159987200256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 159987200256 in words is "one hundred fifty-nine billion, nine hundred eighty-seven million, two hundred thousand, two hundred fifty-six".