Search a number
-
+
64235344353246 = 233111743914490193
BaseRepresentation
bin11101001101011111101001…
…11000011101011111011110
322102102211122121000002012000
432212233310320131133132
531404412441123300441
6344341150530423130
716346564500100313
oct1646576470353736
9272384577002160
1064235344353246
1119516069303670
1272552a6a31aa6
1329ac4a0346981
1411c1015ca0d0a
15765d96dd32b6
hex3a6bf4e1d7de

64235344353246 has 128 divisors (see below), whose sum is σ = 165257764531200. Its totient is φ = 18278507796480.

The previous prime is 64235344353233. The next prime is 64235344353283.

It is a happy number.

64235344353246 is a `hidden beast` number, since 6 + 4 + 2 + 3 + 5 + 3 + 44 + 353 + 246 = 666.

64235344353246 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64235344353192 and 64235344353201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2812075 + ... + 11678118.

It is an arithmetic number, because the mean of its divisors is an integer number (1291076285400).

Almost surely, 264235344353246 is an apocalyptic number.

64235344353246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64235344353246 is an abundant number, since it is smaller than the sum of its proper divisors (101022420177954).

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

64235344353246 is a wasteful number, since it uses less digits than its factorization.

64235344353246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14490671 (or 14490665 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

The spelling of 64235344353246 in words is "sixty-four trillion, two hundred thirty-five billion, three hundred forty-four million, three hundred fifty-three thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 439 459 561 594 878 918 1122 1317 1683 2634 3366 3951 4829 5049 7463 7902 9658 10098 11853 14487 14926 22389 23706 28974 43461 44778 67167 82093 86922 130383 134334 164186 201501 246279 260766 403002 492558 738837 1477674 2216511 4433022 14490193 28980386 43470579 86941158 130411737 159392123 246333281 260823474 318784246 391235211 478176369 492666562 738999843 782470422 956352738 1434529107 1477999686 2216999529 2709666091 2869058214 4303587321 4433999058 5419332182 6361194727 6650998587 8128998273 8607174642 12722389454 13301997174 16257996546 19083584181 24386994819 38167168362 48773989638 57250752543 69973141997 73160984457 108140310359 114501505086 139946283994 146321968914 171752257629 209919425991 216280620718 324420931077 343504515258 419838851982 629758277973 648841862154 973262793231 1189543413949 1259516555946 1889274833919 1946525586462 2379086827898 2919788379693 3568630241847 3778549667838 5839576759386 7137260483694 10705890725541 21411781451082 32117672176623 64235344353246