Search a number
-
+
53311411335 = 35713371055567
BaseRepresentation
bin110001101001100110…
…111001010010000111
312002121100211022000010
4301221212321102013
51333140210130320
640254012321303
73565051343130
oct615146712207
9162540738003
1053311411335
11206779a1436
12a3b9a73233
135047b19110
14281a43ac87
1515c044dae0
hexc699b9487

53311411335 has 64 divisors (see below), whose sum is σ = 107819937792. Its totient is φ = 21888216576.

The previous prime is 53311411333. The next prime is 53311411429.

53311411335 is nontrivially palindromic in base 10.

53311411335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53311411335 - 21 = 53311411333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53311411333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 477279 + ... + 578288.

It is an arithmetic number, because the mean of its divisors is an integer number (1684686528).

Almost surely, 253311411335 is an apocalyptic number.

53311411335 is an abundant number, since it is smaller than the sum of its proper divisors (54508526457).

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

53311411335 is a wasteful number, since it uses less digits than its factorization.

53311411335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055632.

The product of its digits is 8100, while the sum is 30.

The spelling of 53311411335 in words is "fifty-three billion, three hundred eleven million, four hundred eleven thousand, three hundred thirty-five".

Divisors: 1 3 5 7 13 15 21 35 37 39 65 91 105 111 185 195 259 273 455 481 555 777 1295 1365 1443 2405 3367 3885 7215 10101 16835 50505 1055567 3166701 5277835 7388969 13722371 15833505 22166907 36944845 39055979 41167113 68611855 96056597 110834535 117167937 195279895 205835565 273391853 288169791 480282985 507727727 585839685 820175559 1366959265 1440848955 1523183181 2538638635 3554094089 4100877795 7615915905 10662282267 17770470445 53311411335