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11006161839000 = 23325315177310477
BaseRepresentation
bin1010000000101001001001…
…0111011110001110011000
31102222011211100020112100200
42200022102113132032120
52420311104412322000
635224054433102200
72214111644020446
oct240122227361630
942864740215320
1011006161839000
113563761478839
1212990993b7960
1361ab51ba5633
142a09b5a71b96
1514146760e500
hexa02925de398

11006161839000 has 384 divisors, whose sum is σ = 37499212932480. Its totient is φ = 2911489920000.

The previous prime is 11006161838929. The next prime is 11006161839037. The reversal of 11006161839000 is 93816160011.

It is a happy number.

11006161839000 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 1 + 618 + 39 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×110061618390002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1050501762 + ... + 1050512238.

It is an arithmetic number, because the mean of its divisors is an integer number (97654200345).

Almost surely, 211006161839000 is an apocalyptic number.

11006161839000 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 11006161839000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18749606466240).

11006161839000 is an abundant number, since it is smaller than the sum of its proper divisors (26493051093480).

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

11006161839000 is a wasteful number, since it uses less digits than its factorization.

11006161839000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428 (or 11411 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

Adding to 11006161839000 its reverse (93816160011), we get a palindrome (11099977999011).

The spelling of 11006161839000 in words is "eleven trillion, six billion, one hundred sixty-one million, eight hundred thirty-nine thousand".