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11616150000000 = 273587132337
BaseRepresentation
bin1010100100001001100001…
…1111101001000110000000
31112010111022110120201220210
42221002120133221012000
53010304333400000000
640412215144234120
72306145011601420
oct251023037510600
945114273521823
1011616150000000
11377942192a547
12137735516b940
13663523c36680
142c2320676480
1515226929c350
hexa90987e9180

11616150000000 has 2304 divisors, whose sum is σ = 50872473953280. Its totient is φ = 2280960000000.

The previous prime is 11616149999989. The next prime is 11616150000001. The reversal of 11616150000000 is 5161611.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11616150000001) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 313949999982 + ... + 313950000018.

It is an arithmetic number, because the mean of its divisors is an integer number (22080066820).

Almost surely, 211616150000000 is an apocalyptic number.

11616150000000 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 11616150000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25436236976640).

11616150000000 is an abundant number, since it is smaller than the sum of its proper divisors (39256323953280).

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

11616150000000 is an frugal number, since it uses more digits than its factorization.

11616150000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 11616150000000 its reverse (5161611), we get a palindrome (11616155161611).

It can be divided in two parts, 11616 and 150000000, that multiplied together give a square (1742400000000 = 13200002).

The spelling of 11616150000000 in words is "eleven trillion, six hundred sixteen billion, one hundred fifty million", and thus it is an aban number.