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426485584624 = 241131139562361
BaseRepresentation
bin1100011010011001000…
…01011001001011110000
31111202211111212110210111
412031030201121023300
523441420302201444
6523531430111104
742545465440621
oct6151441311360
91452744773714
10426485584624
11154964aa3110
126a7a51ab494
13312a988a5c8
14168db979a48
15b161c19234
hex634c8592f0

426485584624 has 80 divisors (see below), whose sum is σ = 937210014720. Its totient is φ = 186253632000.

The previous prime is 426485584597. The next prime is 426485584633.

426485584624 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477204 + ... + 1039564.

It is an arithmetic number, because the mean of its divisors is an integer number (11715125184).

Almost surely, 2426485584624 is an apocalyptic number.

426485584624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426485584624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468605007360).

426485584624 is an abundant number, since it is smaller than the sum of its proper divisors (510724430096).

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

426485584624 is a wasteful number, since it uses less digits than its factorization.

426485584624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562550 (or 562544 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 58.

The spelling of 426485584624 in words is "four hundred twenty-six billion, four hundred eighty-five million, five hundred eighty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 139 176 248 278 341 496 556 682 1112 1364 1529 2224 2728 3058 4309 5456 6116 8618 12232 17236 24464 34472 47399 68944 94798 189596 379192 562361 758384 1124722 2249444 4498888 6185971 8997776 12371942 17433191 24743884 34866382 49487768 69732764 78168179 98975536 139465528 156336358 191765101 278931056 312672716 383530202 625345432 767060404 859849969 1250690864 1534120808 1719699938 2423213549 3068241616 3439399876 4846427098 6878799752 9692854196 13757599504 19385708392 26655349039 38771416784 53310698078 106621396156 213242792312 426485584624