Search a number
-
+
427125211335 = 325107179495571
BaseRepresentation
bin1100011011100101010…
…01011000000011000111
31111211111002102212200200
412031302221120003013
523444223023230320
6524115115341543
742600363251544
oct6156251300307
91454432385620
10427125211335
11155163057129
126a9434518b3
133137c24bb54
141695c8b9bcb
15b19ce63290
hex6372a580c7

427125211335 has 48 divisors (see below), whose sum is σ = 751445735040. Its totient is φ = 224409954240.

The previous prime is 427125211283. The next prime is 427125211367. The reversal of 427125211335 is 533112521724.

427125211335 is a `hidden beast` number, since 4 + 2 + 71 + 252 + 1 + 1 + 335 = 666.

It is not a de Polignac number, because 427125211335 - 27 = 427125211207 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 427125211335.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614100 + ... + 1109670.

It is an arithmetic number, because the mean of its divisors is an integer number (15655119480).

Almost surely, 2427125211335 is an apocalyptic number.

427125211335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

427125211335 is a deficient number, since it is larger than the sum of its proper divisors (324320523705).

427125211335 is a wasteful number, since it uses less digits than its factorization.

427125211335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495868 (or 495865 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The spelling of 427125211335 in words is "four hundred twenty-seven billion, one hundred twenty-five million, two hundred eleven thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 45 107 179 321 535 537 895 963 1605 1611 2685 4815 8055 19153 57459 95765 172377 287295 495571 861885 1486713 2477855 4460139 7433565 22300695 53026097 88707209 159078291 265130485 266121627 443536045 477234873 795391455 798364881 1330608135 2386174365 3991824405 9491671363 28475014089 47458356815 85425042267 142375070445 427125211335