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16049166336 = 21135717271
BaseRepresentation
bin11101111001001101…
…01101100000000000
31112102111100010100000
432330212231200000
5230332041310321
611212313200000
71105466443260
oct167446554000
945374303300
1016049166336
116896377235
12313aa00000
13168a00c038
14ac36cd7a0
1563dea8826
hex3bc9ad800

16049166336 has 576 divisors, whose sum is σ = 58383037440. Its totient is φ = 4299816960.

The previous prime is 16049166317. The next prime is 16049166349. The reversal of 16049166336 is 63366194061.

16049166336 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 9 + 1 + 6 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 16049166291 and 16049166300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59221881 + ... + 59222151.

It is an arithmetic number, because the mean of its divisors is an integer number (101359440).

Almost surely, 216049166336 is an apocalyptic number.

16049166336 is a gapful number since it is divisible by the number (16) 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 16049166336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29191518720).

16049166336 is an abundant number, since it is smaller than the sum of its proper divisors (42333871104).

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

16049166336 is an equidigital number, since it uses as much as digits as its factorization.

16049166336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 16049166336 in words is "sixteen billion, forty-nine million, one hundred sixty-six thousand, three hundred thirty-six".