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426465222564624 = 24314988609672943
BaseRepresentation
bin110000011110111100010110…
…0000110011001101100010000
32001220222200021121121010021020
41200331320230012121230100
5421344201233434031444
64111003230230155440
7155554044530016165
oct14075705406315420
92056880247533236
10426465222564624
11113980981237651
123b9b79981b2b80
13153c6661c434c9
147745053b8606c
153448514815119
hex183de2c199b10

426465222564624 has 80 divisors (see below), whose sum is σ = 1109109961824000. Its totient is φ = 141199209934848.

The previous prime is 426465222564607. The next prime is 426465222564683.

426465222564624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4264652225646242 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633395097 + ... + 634068039.

It is an arithmetic number, because the mean of its divisors is an integer number (13863874522800).

Almost surely, 2426465222564624 is an apocalyptic number.

It is an amenable number.

426465222564624 is an abundant number, since it is smaller than the sum of its proper divisors (682644739259376).

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

426465222564624 is a wasteful number, since it uses less digits than its factorization.

426465222564624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761712 (or 761706 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 60.

The spelling of 426465222564624 in words is "four hundred twenty-six trillion, four hundred sixty-five billion, two hundred twenty-two million, five hundred sixty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 149 298 447 596 894 1192 1788 2384 3576 7152 88609 177218 265827 354436 531654 672943 708872 1063308 1345886 1417744 2018829 2126616 2691772 4037658 4253232 5383544 8075316 10767088 13202741 16150632 26405482 32301264 39608223 52810964 79216446 100268507 105621928 158432892 200537014 211243856 300805521 316865784 401074028 601611042 633731568 802148056 1203222084 1604296112 2406444168 4812888336 59628806287 119257612574 178886418861 238515225148 357772837722 477030450296 715545675444 954060900592 1431091350888 2862182701776 8884692136763 17769384273526 26654076410289 35538768547052 53308152820578 71077537094104 106616305641156 142155074188208 213232611282312 426465222564624