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426148303841624 = 237132331136037311
BaseRepresentation
bin110000011100101000110001…
…0010001011010100101011000
32001212212101021000002220200202
41200321101202101122211120
5421324003211240412444
64110201454514121332
7155522125143224510
oct14071214221324530
92055771230086622
10426148303841624
11113869531945351
123b966490880248
13153a27c6c0ac00
14773398ba80840
153440166b8634e
hex183946245a958

426148303841624 has 96 divisors (see below), whose sum is σ = 991809951344640. Its totient is φ = 168076817251200.

The previous prime is 426148303841621. The next prime is 426148303841629.

426148303841624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 426148303841624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426148303841621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64886072 + ... + 71151239.

It is an arithmetic number, because the mean of its divisors is an integer number (10331353659840).

Almost surely, 2426148303841624 is an apocalyptic number.

It is an amenable number.

426148303841624 is an abundant number, since it is smaller than the sum of its proper divisors (565661647503016).

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

426148303841624 is a wasteful number, since it uses less digits than its factorization.

426148303841624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136037681 (or 136037664 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 56.

The spelling of 426148303841624 in words is "four hundred twenty-six trillion, one hundred forty-eight billion, three hundred three million, eight hundred forty-one thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 331 338 364 662 676 728 1183 1324 1352 2317 2366 2648 4303 4634 4732 8606 9268 9464 17212 18536 30121 34424 55939 60242 111878 120484 223756 240968 391573 447512 783146 1566292 3132584 136037311 272074622 544149244 952261177 1088298488 1768485043 1904522354 3536970086 3809044708 7073940172 7618089416 12379395301 14147880344 22990305559 24758790602 45028349941 45980611118 49517581204 90056699882 91961222236 99035162408 160932138913 180113399764 183922444472 315198449587 321864277826 360226799528 585368549233 630396899174 643728555652 1170737098466 1260793798348 1287457111304 2341474196932 2521587596696 4097579844631 4682948393864 7609791140029 8195159689262 15219582280058 16390319378524 30439164560116 32780638757048 53268537980203 60878329120232 106537075960406 213074151920812 426148303841624