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36285990000000 = 2735713217421
BaseRepresentation
bin10000100000000011111011…
…00010110101010110000000
311202110220111000212121010120
420100001331202311112000
514224002201420000000
6205101315332300240
710433401441655016
oct1020017542652600
9152426430777116
1036285990000000
111061a890421404
1240a0574771680
1317329a5bca200
148d63737608b6
1542dd364b46a0
hex21007d8b5580

36285990000000 has 1536 divisors, whose sum is σ = 138463450220160. Its totient is φ = 8386560000000.

The previous prime is 36285989999993. The next prime is 36285990000053. The reversal of 36285990000000 is 9958263.

It is a super-3 number, since 3×362859900000003 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36285989999898 and 36285989999907.

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 191 ways as a sum of consecutive naturals, for example, 86189999790 + ... + 86190000210.

Almost surely, 236285990000000 is an apocalyptic number.

36285990000000 is a gapful number since it is divisible by the number (30) 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 36285990000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69231725110080).

36285990000000 is an abundant number, since it is smaller than the sum of its proper divisors (102177460220160).

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

36285990000000 is an frugal number, since it uses more digits than its factorization.

36285990000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

Adding to 36285990000000 its reverse (9958263), we get a palindrome (36285999958263).

The spelling of 36285990000000 in words is "thirty-six trillion, two hundred eighty-five billion, nine hundred ninety million", and thus it is an aban number.