Search a number
-
+
68064558744 = 23371379739103
BaseRepresentation
bin111111011000111101…
…101011111010011000
320111200112110211121010
4333120331223322120
52103344011334434
651133551413520
74626463126530
oct773075537230
9214615424533
1068064558744
112695873a446
12112368242a0
136559485240
1434199644c0
151b857519e9
hexfd8f6be98

68064558744 has 128 divisors (see below), whose sum is σ = 209697546240. Its totient is φ = 17928110592.

The previous prime is 68064558739. The next prime is 68064558787. The reversal of 68064558744 is 44785546086.

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 31 ways as a sum of consecutive naturals, for example, 1721097 + ... + 1760199.

It is an arithmetic number, because the mean of its divisors is an integer number (1638262080).

Almost surely, 268064558744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68064558744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104848773120).

68064558744 is an abundant number, since it is smaller than the sum of its proper divisors (141632987496).

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

68064558744 is a wasteful number, since it uses less digits than its factorization.

68064558744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39929 (or 39925 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 68064558744 in words is "sixty-eight billion, sixty-four million, five hundred fifty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 797 1092 1594 2184 2391 3188 4782 5579 6376 9564 10361 11158 16737 19128 20722 22316 31083 33474 39103 41444 44632 62166 66948 72527 78206 82888 117309 124332 133896 145054 156412 217581 234618 248664 273721 290108 312824 435162 469236 508339 547442 580216 821163 870324 938472 1016678 1094884 1525017 1642326 1740648 2033356 2189768 3050034 3284652 3558373 4066712 6100068 6569304 7116746 10675119 12200136 14233492 21350238 28466984 31165091 42700476 62330182 85400952 93495273 124660364 186990546 218155637 249320728 373981092 405146183 436311274 654466911 747962184 810292366 872622548 1215438549 1308933822 1620584732 1745245096 2430877098 2617867644 2836023281 3241169464 4861754196 5235735288 5672046562 8508069843 9723508392 11344093124 17016139686 22688186248 34032279372 68064558744