Search a number
-
+
77543810641 = 11103921413169
BaseRepresentation
bin100100000110111111…
…0001010011001010001
321102011011100201121201
41020031332022121101
52232302203420031
655342332551201
75413415341453
oct1101576123121
9242134321551
1077543810641
112a982506720
1213041322501
13740a30482b
143a788902d3
15203ca48d61
hex120df8a651

77543810641 has 16 divisors (see below), whose sum is σ = 84740947200. Its totient is φ = 70371417600.

The previous prime is 77543810639. The next prime is 77543810653. The reversal of 77543810641 is 14601834577.

It is not a de Polignac number, because 77543810641 - 21 = 77543810639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77543810591 and 77543810600.

It is not an unprimeable number, because it can be changed into a prime (77543810611) 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 15 ways as a sum of consecutive naturals, for example, 24467905 + ... + 24471073.

It is an arithmetic number, because the mean of its divisors is an integer number (5296309200).

Almost surely, 277543810641 is an apocalyptic number.

It is an amenable number.

77543810641 is a deficient number, since it is larger than the sum of its proper divisors (7197136559).

77543810641 is a wasteful number, since it uses less digits than its factorization.

77543810641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360.

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 77543810641 in words is "seventy-seven billion, five hundred forty-three million, eight hundred ten thousand, six hundred forty-one".

Divisors: 1 11 1039 2141 3169 11429 23551 34859 2224499 3292591 6784829 24469489 36218501 74633119 7049437331 77543810641