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6676354640 = 2451096131249
BaseRepresentation
bin1100011011111000…
…10001011001010000
3122020021201221211002
412031330101121100
5102133121322030
63022253241132
7324306035534
oct61574213120
918207657732
106676354640
1129166a006a
121363a931a8
13825249707
1447498dbc4
152911d9245
hex18df11650

6676354640 has 80 divisors (see below), whose sum is σ = 15703050000. Its totient is φ = 2639609856.

The previous prime is 6676354637. The next prime is 6676354673. The reversal of 6676354640 is 464536766.

It can be written as a sum of positive squares in 8 ways, for example, as 916151824 + 5760202816 = 30268^2 + 75896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×66763546402 = 89147422558099059200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5344736 + ... + 5345984.

It is an arithmetic number, because the mean of its divisors is an integer number (196288125).

Almost surely, 26676354640 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 6676354640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851525000).

6676354640 is an abundant number, since it is smaller than the sum of its proper divisors (9026695360).

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

6676354640 is a wasteful number, since it uses less digits than its factorization.

6676354640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 47.

The square root of 6676354640 is about 81708.9630334396. The cubic root of 6676354640 is about 1882.9832897003.

The spelling of 6676354640 in words is "six billion, six hundred seventy-six million, three hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 613 872 1090 1226 1249 1744 2180 2452 2498 3065 4360 4904 4996 6130 6245 8720 9808 9992 12260 12490 19984 24520 24980 49040 49960 66817 99920 133634 136141 267268 272282 334085 534536 544564 668170 680705 765637 1069072 1089128 1336340 1361410 1531274 2178256 2672680 2722820 3062548 3828185 5345360 5445640 6125096 7656370 10891280 12250192 15312740 30625480 61250960 83454433 166908866 333817732 417272165 667635464 834544330 1335270928 1669088660 3338177320 6676354640