Search a number
-
+
68231644613286 = 23711217877513229
BaseRepresentation
bin11111000001110011010101…
…11100001000101010100110
322221120212210121222112000020
433200321222330020222212
532420401402010111121
6401041103530300010
720241400521611520
oct1740715274105246
9287525717875006
1068231644613286
111a816972652900
12779b8bb887606
132c0c2a77acc5b
1412bc601acaa10
157d4cdd1791c6
hex3e0e6af08aa6

68231644613286 has 96 divisors (see below), whose sum is σ = 171520910104320. Its totient is φ = 17712585274560.

The previous prime is 68231644613213. The next prime is 68231644613347.

68231644613286 is nontrivially palindromic in base 10.

68231644613286 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 5324920 + ... + 12838148.

It is an arithmetic number, because the mean of its divisors is an integer number (1786676146920).

Almost surely, 268231644613286 is an apocalyptic number.

68231644613286 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 68231644613286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85760455052160).

68231644613286 is an abundant number, since it is smaller than the sum of its proper divisors (103289265491034).

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

68231644613286 is a wasteful number, since it uses less digits than its factorization.

68231644613286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515050 (or 7515039 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 60.

The spelling of 68231644613286 in words is "sixty-eight trillion, two hundred thirty-one billion, six hundred forty-four million, six hundred thirteen thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 1787 2541 3574 5082 5361 10722 12509 19657 25018 37527 39314 58971 75054 117942 137599 216227 275198 412797 432454 648681 825594 1297362 1513589 3027178 4540767 7513229 9081534 15026458 22539687 45079374 52592603 82645519 105185206 157777809 165291038 247936557 315555618 495873114 578518633 909100709 1157037266 1735555899 1818201418 2727302127 3471111798 5454604254 6363704963 12727409926 13426140223 19091114889 26852280446 38182229778 40278420669 80556841338 93982981561 147687542453 187965963122 281948944683 295375084906 443062627359 563897889366 886125254718 1033812797171 1624562966983 2067625594342 3101438391513 3249125933966 4873688900949 6202876783026 9747377801898 11371940768881 22743881537762 34115822306643 68231644613286