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424555555424 = 257111313254107
BaseRepresentation
bin1100010110110010111…
…10111010101001100000
31111120212000011211110112
412023121132322221200
523423442210233144
6523012122550452
742446611451420
oct6133136725140
91446760154415
10424555555424
111540645a7660
126a346968428
133105ca716b0
14167974d6480
15b09c57899e
hex62d97baa60

424555555424 has 96 divisors (see below), whose sum is σ = 1122251832576. Its totient is φ = 152687301120.

The previous prime is 424555555379. The next prime is 424555555429.

424555555424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4245555554242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424555555429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6595022 + ... + 6659085.

It is an arithmetic number, because the mean of its divisors is an integer number (11690123256).

Almost surely, 2424555555424 is an apocalyptic number.

424555555424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424555555424 is an abundant number, since it is smaller than the sum of its proper divisors (697696277152).

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

424555555424 is a wasteful number, since it uses less digits than its factorization.

424555555424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13254148 (or 13254140 counting only the distinct ones).

The product of its digits is 16000000, while the sum is 50.

It can be divided in two parts, 424555 and 555424, that added together give a palindrome (979979).

The spelling of 424555555424 in words is "four hundred twenty-four billion, five hundred fifty-five million, five hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 16016 32032 13254107 26508214 53016428 92778749 106032856 145795177 172303391 185557498 212065712 291590354 344606782 371114996 424131424 583180708 689213564 742229992 1020566239 1166361416 1206123737 1378427128 1484459984 1895337301 2041132478 2332722832 2412247474 2756854256 2968919968 3790674602 4082264956 4665445664 4824494948 5513708512 7581349204 8164529912 9648989896 13267361107 15162698408 16329059824 19297979792 26534722214 30325396816 32658119648 38595959584 53069444428 60650793632 106138888856 212277777712 424555555424