Search a number
-
+
65056260857796 = 2232131729614622389
BaseRepresentation
bin11101100101011000101110…
…10100011001111111000100
322112100022120200020100022100
432302230113110121333010
532011340210234422141
6350210233400232100
716463105535205215
oct1662542724317704
9275308520210270
1065056260857796
111980222927185a
12736840a16b630
132a3ba18822a50
14120ca5012340c
1577c3e162d0b6
hex3b2b17519fc4

65056260857796 has 288 divisors, whose sum is σ = 197161204312800. Its totient is φ = 17891969679360.

The previous prime is 65056260857789. The next prime is 65056260857803. The reversal of 65056260857796 is 69775806265056.

65056260857796 is a `hidden beast` number, since 6 + 5 + 0 + 5 + 6 + 2 + 608 + 5 + 7 + 7 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (65056260857789) and next prime (65056260857803).

It can be written as a sum of positive squares in 16 ways, for example, as 10990975389696 + 54065285468100 = 3315264^2 + 7352910^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11762970 + ... + 16385358.

It is an arithmetic number, because the mean of its divisors is an integer number (684587514975).

Almost surely, 265056260857796 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 65056260857796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98580602156400).

65056260857796 is an abundant number, since it is smaller than the sum of its proper divisors (132104943455004).

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

65056260857796 is a wasteful number, since it uses less digits than its factorization.

65056260857796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622519 (or 4622514 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 65056260857796 in words is "sixty-five trillion, fifty-six billion, two hundred sixty million, eight hundred fifty-seven thousand, seven hundred ninety-six".