Search a number
-
+
61406310024 = 2332852865417
BaseRepresentation
bin111001001100000110…
…011110111010001000
312212111111210202102200
4321030012132322020
52001230003410044
644113142200200
74302464010633
oct711406367210
9185444722380
1061406310024
1124051296654
12ba98a23060
135a37c07ab7
142d87568c1a
1518e5e42369
hexe4c19ee88

61406310024 has 24 divisors (see below), whose sum is σ = 166308756510. Its totient is φ = 20468769984.

The previous prime is 61406310023. The next prime is 61406310029. The reversal of 61406310024 is 42001360416.

61406310024 is a `hidden beast` number, since 6 + 1 + 4 + 0 + 631 + 0 + 0 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38083522500 + 23322787524 = 195150^2 + 152718^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61406310024.

It is not an unprimeable number, because it can be changed into a prime (61406310023) 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 5 ways as a sum of consecutive naturals, for example, 426432637 + ... + 426432780.

Almost surely, 261406310024 is an apocalyptic number.

It is an amenable number.

61406310024 is an abundant number, since it is smaller than the sum of its proper divisors (104902446486).

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

61406310024 is a wasteful number, since it uses less digits than its factorization.

61406310024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852865429 (or 852865422 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 61406310024 in words is "sixty-one billion, four hundred six million, three hundred ten thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 852865417 1705730834 2558596251 3411461668 5117192502 6822923336 7675788753 10234385004 15351577506 20468770008 30703155012 61406310024