Search a number
-
+
284005996417 = 111337500310729
BaseRepresentation
bin1000010001000000001…
…00111001011110000001
31000011001212101110111001
410020200010321132001
514123121013341132
6334245350052001
726342635065313
oct4104004713601
91004055343431
10284005996417
11aa49aa87720
124706104a001
1320a21394b70
14da62cd17b3
1575c349ece7
hex4220139781

284005996417 has 32 divisors (see below), whose sum is σ = 342775601280. Its totient is φ = 231817489920.

The previous prime is 284005996369. The next prime is 284005996451. The reversal of 284005996417 is 714699500482.

It is a cyclic number.

It is not a de Polignac number, because 284005996417 - 211 = 284005994369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (284005996117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26465509 + ... + 26476237.

It is an arithmetic number, because the mean of its divisors is an integer number (10711737540).

Almost surely, 2284005996417 is an apocalyptic number.

It is an amenable number.

284005996417 is a deficient number, since it is larger than the sum of its proper divisors (58769604863).

284005996417 is a wasteful number, since it uses less digits than its factorization.

284005996417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15793.

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 284005996417 in words is "two hundred eighty-four billion, five million, nine hundred ninety-six thousand, four hundred seventeen".

Divisors: 1 11 13 37 143 407 481 5003 5291 10729 55033 65039 118019 139477 185111 396973 715429 1534247 2036221 2406443 4366703 5160649 26470873 53677187 56767139 590449057 697803431 1986055919 7675837741 21846615109 25818726947 284005996417