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11383933916160 = 2103351319333397
BaseRepresentation
bin1010010110101000011101…
…0101100101010000000000
31111022021220221001102112000
42211222013111211100000
52443003244040304120
640113412415504000
72253314331500631
oct245520725452000
944267827042460
1011383933916160
113699998a0a773
12133a348528000
136476673abcc0
142b4db1ac3888
1514b1c78a6990
hexa5a87565400

11383933916160 has 704 divisors, whose sum is σ = 45861695443200. Its totient is φ = 2654706991104.

The previous prime is 11383933916119. The next prime is 11383933916221. The reversal of 11383933916160 is 6161933938311.

It is a happy number.

11383933916160 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 3 + 93 + 391 + 6 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11383933916097 and 11383933916106.

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 63 ways as a sum of consecutive naturals, for example, 33978582 + ... + 34311978.

Almost surely, 211383933916160 is an apocalyptic number.

11383933916160 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 11383933916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22930847721600).

11383933916160 is an abundant number, since it is smaller than the sum of its proper divisors (34477761527040).

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

11383933916160 is a wasteful number, since it uses less digits than its factorization.

11383933916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333463 (or 333439 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 11383933916160 in words is "eleven trillion, three hundred eighty-three billion, nine hundred thirty-three million, nine hundred sixteen thousand, one hundred sixty".