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9137111040000 = 217385417
BaseRepresentation
bin1000010011110110011001…
…0000100000000000000000
31012100111110222102100000000
42010331212100200000000
52144200300411240000
631233310400000000
71632064062244536
oct204754620400000
935314428370000
109137111040000
112a03032a83919
121036a00000000
1351381a077ca8
1423834a774156
1510ca25990000
hex84f66420000

9137111040000 has 1620 divisors, whose sum is σ = 36266115139254. Its totient is φ = 2293235712000.

The previous prime is 9137111039981. The next prime is 9137111040011. The reversal of 9137111040000 is 401117319.

It can be written as a sum of positive squares in 5 ways, for example, as 588644941824 + 8548466098176 = 767232^2 + 2923776^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 537477119992 + ... + 537477120008.

Almost surely, 29137111040000 is an apocalyptic number.

9137111040000 is a gapful number since it is divisible by the number (90) 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 9137111040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18133057569627).

9137111040000 is an abundant number, since it is smaller than the sum of its proper divisors (27129004099254).

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

9137111040000 is an frugal number, since it uses more digits than its factorization.

9137111040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

Adding to 9137111040000 its reverse (401117319), we get a palindrome (9137512157319).

The spelling of 9137111040000 in words is "nine trillion, one hundred thirty-seven billion, one hundred eleven million, forty thousand".