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64424033042446 = 271129138122434657
BaseRepresentation
bin11101010010111111000111…
…00110101100000000001110
322110002212200122001122022101
432221133203212230000032
531421010404424324241
6345003554152105314
716366324411352650
oct1651374346540016
9273085618048271
1064424033042446
1119589096137620
12728598639523a
1329c42110b031c
1411ca1d59d66d0
1576ac3c2c2e31
hex3a97e39ac00e

64424033042446 has 128 divisors (see below), whose sum is σ = 124808488104960. Its totient is φ = 24201202636800.

The previous prime is 64424033042431. The next prime is 64424033042549.

64424033042446 is nontrivially palindromic in base 10.

64424033042446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×644240330424462 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64424033042396 and 64424033042405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13833803350 + ... + 13833808006.

It is an arithmetic number, because the mean of its divisors is an integer number (975066313320).

Almost surely, 264424033042446 is an apocalyptic number.

64424033042446 is a deficient number, since it is larger than the sum of its proper divisors (60384455062514).

64424033042446 is a wasteful number, since it uses less digits than its factorization.

64424033042446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8330.

The product of its (nonzero) digits is 5308416, while the sum is 46.

It can be divided in two parts, 6442403 and 3042446, that added together give a palindrome (9484849).

The spelling of 64424033042446 in words is "sixty-four trillion, four hundred twenty-four billion, thirty-three million, forty-two thousand, four hundred forty-six".

Divisors: 1 2 7 11 14 22 29 58 77 154 203 319 406 638 1381 2233 2243 2762 4466 4486 4657 9314 9667 15191 15701 19334 24673 30382 31402 32599 40049 49346 51227 65047 65198 80098 102454 106337 130094 135053 172711 212674 270106 280343 345422 358589 440539 455329 560686 715517 717178 881078 910658 945371 1431034 1485583 1890742 2971166 3083773 3097583 5008619 6167546 6195166 6431317 10017238 10399081 10445651 12862634 20798162 20891302 21683081 34073413 43366162 45019219 68146826 70744487 73119557 89829907 90038438 114902161 141488974 146239114 179659814 186508193 229804322 238513891 302923879 373016386 477027782 495211409 605847758 628809349 804315127 988128977 990422818 1257618698 1305557351 1608630254 1976257954 2051590123 2120467153 2611114702 3332162669 4103180246 4240934306 6664325338 6916902839 13833805678 14361130861 14425444031 23325138683 28722261722 28850888062 46650277366 100978108217 158679884341 201956216434 317359768682 418337876899 836675753798 1110759190387 2221518380774 2928365138293 4601716645889 5856730276586 9203433291778 32212016521223 64424033042446