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239982000336 = 243213436414651
BaseRepresentation
bin1101111110000000001…
…0101011100011010000
3211221102202110202002200
43133200002223203100
512412440343002321
6302125103043200
723223656226441
oct3374002534320
9757382422080
10239982000336
1192859645891
123a6155a0500
131982673b940
14b8881252c8
1563985a2d26
hex37e00ab8d0

239982000336 has 240 divisors, whose sum is σ = 741413504832. Its totient is φ = 71995392000.

The previous prime is 239982000317. The next prime is 239982000341. The reversal of 239982000336 is 633000289932.

239982000336 is a `hidden beast` number, since 23 + 9 + 98 + 200 + 0 + 336 = 666.

It is a super-2 number, since 2×2399820003362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 239982000291 and 239982000300.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 51595611 + ... + 51600261.

Almost surely, 2239982000336 is an apocalyptic number.

239982000336 is a gapful number since it is divisible by the number (26) 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 239982000336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370706752416).

239982000336 is an abundant number, since it is smaller than the sum of its proper divisors (501431504496).

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

239982000336 is a wasteful number, since it uses less digits than its factorization.

239982000336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 239982000336 in words is "two hundred thirty-nine billion, nine hundred eighty-two million, three hundred thirty-six", and thus it is an aban number.