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BaseRepresentation
bin1010010100000101010011…
…0110010010010001101000
31111011002212122202121200200
42211001110312102101220
52441244100104200331
640041330451432200
72250204112405200
oct245012466222150
944132778677620
1011340137178216
113682363889280
121331964bb5660
136434a7865052
142b2c19193400
15149eb28ea5e6
hexa5054d92468

11340137178216 has 288 divisors, whose sum is σ = 38980259117280. Its totient is φ = 2945103840000.

The previous prime is 11340137178157. The next prime is 11340137178217. The reversal of 11340137178216 is 61287173104311.

11340137178216 is a `hidden beast` number, since 1 + 1 + 340 + 137 + 178 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×113401371782162 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11340137178217) 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 71 ways as a sum of consecutive naturals, for example, 407508895 + ... + 407536721.

It is an arithmetic number, because the mean of its divisors is an integer number (135348121935).

Almost surely, 211340137178216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11340137178216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19490129558640).

11340137178216 is an abundant number, since it is smaller than the sum of its proper divisors (27640121939064).

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

11340137178216 is a wasteful number, since it uses less digits than its factorization.

11340137178216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38365 (or 38351 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11340137178216 in words is "eleven trillion, three hundred forty billion, one hundred thirty-seven million, one hundred seventy-eight thousand, two hundred sixteen".