Search a number
-
+
424608424806424 = 234711171344175217
BaseRepresentation
bin110000010001011011101101…
…0010101000100100000011000
32001200102011120012000212222111
41200202313122111010200120
5421123241023222301144
64103022230102202104
7155302642411335265
oct14042673225044030
92050364505025874
10424608424806424
11113325470314631
123b757b5a423334
13152c0530816171
1476bd22bd3426c
15341508d74b534
hex1822dda544818

424608424806424 has 64 divisors (see below), whose sum is σ = 813879243365760. Its totient is φ = 207582873845760.

The previous prime is 424608424806409. The next prime is 424608424806431.

424608424806424 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5645074864 + ... + 5645150080.

It is an arithmetic number, because the mean of its divisors is an integer number (12716863177590).

Almost surely, 2424608424806424 is an apocalyptic number.

It is an amenable number.

424608424806424 is a deficient number, since it is larger than the sum of its proper divisors (389270818559336).

424608424806424 is a wasteful number, since it uses less digits than its factorization.

424608424806424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89828 (or 89824 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 58.

The spelling of 424608424806424 in words is "four hundred twenty-four trillion, six hundred eight billion, four hundred twenty-four million, eight hundred six thousand, four hundred twenty-four".

Divisors: 1 2 4 8 47 94 188 376 1117 2234 4468 8936 13441 26882 52499 53764 75217 104998 107528 150434 209996 300868 419992 601736 631727 1263454 2526908 3535199 5053816 7070398 14140796 15013597 28281592 30027194 60054388 84017389 120108776 168034778 336069556 672139112 705639059 1010991697 1411278118 2021983394 2822556236 3948817283 4043966788 5645112472 7897634566 8087933576 15795269132 31590538264 47516609759 95033219518 190066439036 380132878072 1129277725549 2258555451098 4517110902196 9034221804392 53076053100803 106152106201606 212304212403212 424608424806424