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6683060480 = 28533715493
BaseRepresentation
bin1100011100101011…
…10110100100000000
3122020202100122111112
412032111312210000
5102141330413410
63023053102452
7324420035225
oct61625664400
918222318445
106683060480
11291a460288
121366187a28
13826756a75
1447581794c
15291ab1105
hex18e576900

6683060480 has 72 divisors (see below), whose sum is σ = 16056556152. Its totient is φ = 2665119744.

The previous prime is 6683060459. The next prime is 6683060497. The reversal of 6683060480 is 840603866.

It can be written as a sum of positive squares in 4 ways, for example, as 45373696 + 6637686784 = 6736^2 + 81472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423614 + ... + 439106.

Almost surely, 26683060480 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 6683060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8028278076).

6683060480 is an abundant number, since it is smaller than the sum of its proper divisors (9373495672).

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

6683060480 is a wasteful number, since it uses less digits than its factorization.

6683060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15851 (or 15837 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 6683060480 is about 81749.9876452590. The cubic root of 6683060480 is about 1883.6135118359.

The spelling of 6683060480 in words is "six billion, six hundred eighty-three million, sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 337 640 674 1280 1348 1685 2696 3370 5392 6740 10784 13480 15493 21568 26960 30986 43136 53920 61972 77465 86272 107840 123944 154930 215680 247888 309860 431360 495776 619720 991552 1239440 1983104 2478880 3966208 4957760 5221141 9915520 10442282 19831040 20884564 26105705 41769128 52211410 83538256 104422820 167076512 208845640 334153024 417691280 668306048 835382560 1336612096 1670765120 3341530240 6683060480