Search a number
-
+
46646928441 = 32719932
BaseRepresentation
bin101011011100010111…
…111010010000111001
311110101220102111011100
4223130113322100321
51231013103202231
633232421322013
73240645230631
oct533427722071
9143356374140
1046646928441
1118867a7a833
129059b66309
134525198209
14238729b6c1
15133030c1e6
hexadc5fa439

46646928441 has 9 divisors (see below), whose sum is σ = 67379832559. Its totient is φ = 31097520336.

The previous prime is 46646928431. The next prime is 46646928451. The reversal of 46646928441 is 14482964664.

The square root of 46646928441 is 215979.

It is a perfect power (a square), and thus also a powerful number.

46646928441 is a `hidden beast` number, since 4 + 66 + 469 + 2 + 84 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (46646928431) and next prime (46646928451).

It can be written as a sum of positive squares in only one way, i.e., 46209951225 + 436977216 = 214965^2 + 20904^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 46646928441 - 235 = 12287190073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46646928431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 611941 + ... + 683933.

Almost surely, 246646928441 is an apocalyptic number.

46646928441 is the 215979-th square number.

46646928441 is the 107990-th centered octagonal number.

It is an amenable number.

46646928441 is a deficient number, since it is larger than the sum of its proper divisors (20732904118).

46646928441 is an frugal number, since it uses more digits than its factorization.

46646928441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143992 (or 71996 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 46646928441 in words is "forty-six billion, six hundred forty-six million, nine hundred twenty-eight thousand, four hundred forty-one".

Divisors: 1 3 9 71993 215979 647937 5182992049 15548976147 46646928441