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68214186419344 = 247239727432
BaseRepresentation
bin11111000001010010110100…
…10110011010010010010000
322221112012201221022101011121
433200221122112122102100
532420110123210404334
6401025055320452024
720240212062453100
oct1740513226322220
9287465657271147
1068214186419344
111a80a523991349
12779844901a014
132c0a7548b1394
1412bb827219200
157d461a645db4
hex3e0a5a59a490

68214186419344 has 135 divisors (see below), whose sum is σ = 154338903994617. Its totient is φ = 29121764740992.

The previous prime is 68214186419341. The next prime is 68214186419377. The reversal of 68214186419344 is 44391468141286.

The square root of 68214186419344 is 8259188.

It is a perfect power (a square), and thus also a powerful number.

68214186419344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45715177690000 + 22499008729344 = 6761300^2 + 4743312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68214186419341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91809133437 + ... + 91809134179.

Almost surely, 268214186419344 is an apocalyptic number.

68214186419344 is the 8259188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68214186419344

68214186419344 is an abundant number, since it is smaller than the sum of its proper divisors (86124717575273).

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

68214186419344 is an frugal number, since it uses more digits than its factorization.

68214186419344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 1149 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 61.

The spelling of 68214186419344 in words is "sixty-eight trillion, two hundred fourteen billion, one hundred eighty-six million, four hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 397 743 784 794 1486 1588 2779 2972 3176 5201 5558 5944 6352 10402 11116 11888 19453 20804 22232 36407 38906 41608 44464 72814 77812 83216 145628 155624 157609 291256 294971 311248 315218 552049 582512 589942 630436 1103263 1104098 1179884 1260872 2064797 2206526 2208196 2359768 2521744 3864343 4129594 4413052 4416392 4719536 7722841 7728686 8259188 8826104 8832784 14453579 15445682 15457372 16518376 17652208 27050401 28907158 30891364 30914744 33036752 54100802 57814316 61782728 61829488 108201604 115628632 117103487 123565456 216403208 219163453 231257264 234206974 432806416 438326906 468413948 819724409 876653812 936827896 1534144171 1639448818 1753307624 1873655792 3068288342 3278897636 3506615248 5738070863 6136576684 6557795272 10739009197 11476141726 12273153368 13115590544 21478018394 22952283452 24546306736 42956036788 45904566904 85912073576 87007890841 91809133808 171824147152 174015781682 348031563364 609055235887 696063126728 1218110471774 1392126253456 2436220943548 4263386651209 4872441887096 8526773302418 9744883774192 17053546604836 34107093209672 68214186419344