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6774381144 = 2332193125153
BaseRepresentation
bin1100100111100100…
…01101101001011000
3122111010012012220100
412103302031221120
5102333220144034
63040114255400
7326606201226
oct62362155130
918433165810
106774381144
112966a63903
121390887560
1383c64bb6b
144839c9b16
15299aee099
hex193c8da58

6774381144 has 144 divisors (see below), whose sum is σ = 19959895800. Its totient is φ = 2069867520.

The previous prime is 6774381139. The next prime is 6774381151. The reversal of 6774381144 is 4411834776.

6774381144 is a `hidden beast` number, since 6 + 77 + 438 + 1 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6774381144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1312072 + ... + 1317224.

Almost surely, 26774381144 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 6774381144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979947900).

6774381144 is an abundant number, since it is smaller than the sum of its proper divisors (13185514656).

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

6774381144 is a wasteful number, since it uses less digits than its factorization.

6774381144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5208 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 6774381144 is about 82306.6287974426. The cubic root of 6774381144 is about 1892.1542715470.

The spelling of 6774381144 in words is "six billion, seven hundred seventy-four million, three hundred eighty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 248 279 342 372 456 558 589 684 744 961 1116 1178 1368 1767 1922 2232 2356 2883 3534 3844 4712 5153 5301 5766 7068 7688 8649 10306 10602 11532 14136 15459 17298 18259 20612 21204 23064 30918 34596 36518 41224 42408 46377 54777 61836 69192 73036 92754 97907 109554 123672 146072 159743 164331 185508 195814 219108 293721 319486 328662 371016 391628 438216 479229 587442 638972 657324 783256 881163 958458 1174884 1277944 1314648 1437687 1762326 1916916 2349768 2875374 3035117 3524652 3833832 4952033 5750748 6070234 7049304 9105351 9904066 11501496 12140468 14856099 18210702 19808132 24280936 27316053 29712198 36421404 39616264 44568297 54632106 59424396 72842808 89136594 94088627 109264212 118848792 178273188 188177254 218528424 282265881 356546376 376354508 564531762 752709016 846797643 1129063524 1693595286 2258127048 3387190572 6774381144