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50164446105 = 32515738918253
BaseRepresentation
bin101110101110000010…
…001011001110011001
311210111001020220021100
4232232002023032121
51310214044233410
635013434102013
73424056520314
oct565602131631
9153431226240
1050164446105
111a302581924
12987bb7a909
134965b59107
1425dc4d997b
1514890298c0
hexbae08b399

50164446105 has 48 divisors (see below), whose sum is σ = 87735295440. Its totient is φ = 26514169344.

The previous prime is 50164446097. The next prime is 50164446113.

50164446105 is a `hidden beast` number, since 5 + 0 + 1 + 644 + 4 + 6 + 1 + 0 + 5 = 666.

50164446105 is nontrivially palindromic in base 10.

50164446105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (50164446097) and next prime (50164446113).

It can be written as a sum of positive squares in 8 ways, for example, as 19988587161 + 30175858944 = 141381^2 + 173712^2 .

It is not a de Polignac number, because 50164446105 - 23 = 50164446097 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 50164446105.

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, 2739159 + ... + 2757411.

It is an arithmetic number, because the mean of its divisors is an integer number (1827818655).

Almost surely, 250164446105 is an apocalyptic number.

It is an amenable number.

50164446105 is a deficient number, since it is larger than the sum of its proper divisors (37570849335).

50164446105 is a wasteful number, since it uses less digits than its factorization.

50164446105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18810 (or 18807 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 50164446105 in words is "fifty billion, one hundred sixty-four million, four hundred forty-six thousand, one hundred five".

Divisors: 1 3 5 9 15 45 157 389 471 785 1167 1413 1945 2355 3501 5835 7065 17505 18253 54759 61073 91265 164277 183219 273795 305365 549657 821385 916095 2748285 2865721 7100417 8597163 14328605 21301251 25791489 35502085 42985815 63903753 106506255 128957445 319518765 1114765469 3344296407 5573827345 10032889221 16721482035 50164446105