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16036117344 = 25331319163461
BaseRepresentation
bin11101110111101001…
…11011101101100000
31112101120210011111000
432323310323231200
5230320221223334
611211125352000
71105250514462
oct167364735540
945346704430
1016036117344
116889a74345
123136568600
1316873c0740
14ac1a94132
1563cc7c299
hex3bbd3bb60

16036117344 has 384 divisors, whose sum is σ = 53461900800. Its totient is φ = 4635740160.

The previous prime is 16036117343. The next prime is 16036117351. The reversal of 16036117344 is 44371163061.

16036117344 is a `hidden beast` number, since 1 + 6 + 0 + 3 + 611 + 7 + 34 + 4 = 666.

It is a super-2 number, since 2×160361173442 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16036117299 and 16036117308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16036117343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34785274 + ... + 34785734.

It is an arithmetic number, because the mean of its divisors is an integer number (139223700).

Almost surely, 216036117344 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 16036117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26730950400).

16036117344 is an abundant number, since it is smaller than the sum of its proper divisors (37425783456).

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

16036117344 is a wasteful number, since it uses less digits than its factorization.

16036117344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 16036117344 in words is "sixteen billion, thirty-six million, one hundred seventeen thousand, three hundred forty-four".