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16707661056 = 283219337573
BaseRepresentation
bin11111000111101101…
…01010110100000000
31121010101102010021100
433203312222310000
5233204130123211
611401515054400
71131013530042
oct174366526400
947111363240
1016707661056
1170a4048049
1232a3441400
131763578698
14b46d41a92
1567bbcd156
hex3e3daad00

16707661056 has 108 divisors (see below), whose sum is σ = 48423191908. Its totient is φ = 5540216832.

The previous prime is 16707661021. The next prime is 16707661057. The reversal of 16707661056 is 65016670761.

16707661056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11050214400 + 5657446656 = 105120^2 + 75216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16707661057) 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 11 ways as a sum of consecutive naturals, for example, 425886 + ... + 463458.

Almost surely, 216707661056 is an apocalyptic number.

16707661056 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 16707661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24211595954).

16707661056 is an abundant number, since it is smaller than the sum of its proper divisors (31715530852).

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

16707661056 is a wasteful number, since it uses less digits than its factorization.

16707661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37788 (or 37771 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 16707661056 in words is "sixteen billion, seven hundred seven million, six hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 193 256 288 384 386 576 579 768 772 1152 1158 1544 1737 2304 2316 3088 3474 4632 6176 6948 9264 12352 13896 18528 24704 27792 37056 37573 49408 55584 74112 75146 111168 112719 148224 150292 222336 225438 300584 338157 444672 450876 601168 676314 901752 1202336 1352628 1803504 2404672 2705256 3607008 4809344 5410512 7214016 7251589 9618688 10821024 14428032 14503178 21642048 21754767 28856064 29006356 43284096 43509534 58012712 65264301 86568192 87019068 116025424 130528602 174038136 232050848 261057204 348076272 464101696 522114408 696152544 928203392 1044228816 1392305088 1856406784 2088457632 2784610176 4176915264 5569220352 8353830528 16707661056