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68463544536486 = 232111394195936977
BaseRepresentation
bin11111001000100011010010…
…10000001000110110100110
322222102001101010121012112200
433210101221100020312212
532433201314400131421
6401335415042355330
720264220312464211
oct1744215120106646
9288361333535480
1068463544536486
111a8a62540604a0
12781883a65bb46
132c2811399bb18
1412c99206a0778
157dad61e1c726
hex3e4469408da6

68463544536486 has 96 divisors (see below), whose sum is σ = 163376135395200. Its totient is φ = 20548111415040.

The previous prime is 68463544536481. The next prime is 68463544536487.

It is a happy number.

68463544536486 is a `hidden beast` number, since 6 + 8 + 4 + 6 + 3 + 5 + 4 + 4 + 536 + 4 + 86 = 666.

68463544536486 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68463544536481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8563230 + ... + 14500206.

It is an arithmetic number, because the mean of its divisors is an integer number (1701834743700).

Almost surely, 268463544536486 is an apocalyptic number.

68463544536486 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68463544536486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81688067697600).

68463544536486 is an abundant number, since it is smaller than the sum of its proper divisors (94912590858714).

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

68463544536486 is a wasteful number, since it uses less digits than its factorization.

68463544536486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5937554 (or 5937551 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 72.

The spelling of 68463544536486 in words is "sixty-eight trillion, four hundred sixty-three billion, five hundred forty-four million, five hundred thirty-six thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 139 198 278 417 419 834 838 1251 1257 1529 2502 2514 3058 3771 4587 4609 7542 9174 9218 13761 13827 27522 27654 41481 58241 82962 116482 174723 349446 524169 640651 1048338 1281302 1921953 3843906 5765859 5936977 11531718 11873954 17810931 35621862 53432793 65306747 106865586 130613494 195920241 391840482 587760723 825239803 1175521446 1650479606 2475719409 2487593363 4951438818 4975186726 7427158227 7462780089 9077637833 14854316454 14925560178 18155275666 22388340267 27232913499 27363526993 44776680534 54465826998 54727053986 81698740497 82090580979 163397480994 164181161958 246271742937 345775477457 492543485874 691550954914 1037326432371 2074652864742 3111979297113 3803530252027 6223958594226 7607060504054 11410590756081 22821181512162 34231772268243 68463544536486