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16105333356 = 2236719131317
BaseRepresentation
bin11101111111111001…
…11110001001101100
31112120102000201000000
432333330332021230
5230440431131411
611222041104300
71110051034440
oct167774761154
945512021000
1016105333356
11691504a362
123155788090
131698846468
14acad50820
15643da0956
hex3bff3e26c

16105333356 has 336 divisors, whose sum is σ = 51385340160. Its totient is φ = 4312414080.

The previous prime is 16105333331. The next prime is 16105333357. The reversal of 16105333356 is 65333350161.

16105333356 is a `hidden beast` number, since 1 + 610 + 5 + 3 + 3 + 3 + 35 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16105333356.

It is not an unprimeable number, because it can be changed into a prime (16105333357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 50805310 + ... + 50805626.

It is an arithmetic number, because the mean of its divisors is an integer number (152932560).

Almost surely, 216105333356 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 16105333356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25692670080).

16105333356 is an abundant number, since it is smaller than the sum of its proper divisors (35280006804).

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

16105333356 is a wasteful number, since it uses less digits than its factorization.

16105333356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 16105333356 in words is "sixteen billion, one hundred five million, three hundred thirty-three thousand, three hundred fifty-six".