Search a number
-
+
104287774456071 = 3233788338940389
BaseRepresentation
bin10111101101100101100011…
…110000000011100100000111
3111200020210222022102021111200
4113231211203300003210013
5102132122330230043241
61005445050414033543
730652354161520563
oct2755454360034407
9450223868367450
10104287774456071
11302582189a3a28
12b8438047a88b3
1346263aac797cb
141ba77ab7246a3
15c0cb6e9b54b6
hex5ed963c03907

104287774456071 has 24 divisors (see below), whose sum is σ = 151256001115440. Its totient is φ = 69240371187456.

The previous prime is 104287774455973. The next prime is 104287774456093. The reversal of 104287774456071 is 170654477782401.

104287774456071 is a `hidden beast` number, since 1 + 0 + 4 + 28 + 7 + 7 + 7 + 44 + 560 + 7 + 1 = 666.

It is not a de Polignac number, because 104287774456071 - 210 = 104287774455047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104287774456771) 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 23 ways as a sum of consecutive naturals, for example, 16792056 + ... + 22148333.

It is an arithmetic number, because the mean of its divisors is an integer number (6302333379810).

Almost surely, 2104287774456071 is an apocalyptic number.

104287774456071 is a deficient number, since it is larger than the sum of its proper divisors (46968226659369).

104287774456071 is a wasteful number, since it uses less digits than its factorization.

104287774456071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38941615 (or 38941612 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 63.

The spelling of 104287774456071 in words is "one hundred four trillion, two hundred eighty-seven billion, seven hundred seventy-four million, four hundred fifty-six thousand, seventy-one".

Divisors: 1 3 9 337 883 1011 2649 3033 7947 297571 892713 2678139 38940389 116821167 350463501 13122911093 34384363487 39368733279 103153090461 118106199837 309459271383 11587530495119 34762591485357 104287774456071