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6676132352 = 292321572
BaseRepresentation
bin1100011011110110…
…11011001000000000
3122020021022122220012
412031323123020000
5102133042213402
63022244404052
7324304121501
oct61573331000
918207278805
106676132352
11291655905a
1213639a6628
1382519c496
14474932ba8
15291193452
hex18dedb200

6676132352 has 90 divisors (see below), whose sum is σ = 14033791233. Its totient is φ = 3172595712.

The previous prime is 6676132319. The next prime is 6676132361. The reversal of 6676132352 is 2532316766.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6376980736 + 299151616 = 79856^2 + 17296^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=57776.

It is a Duffinian number.

Its product of digits (272160) is a multiple of the sum of its prime factors (378).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42523058 + ... + 42523214.

Almost surely, 26676132352 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 6676132352

6676132352 is an abundant number, since it is smaller than the sum of its proper divisors (7357658881).

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

6676132352 is an frugal number, since it uses more digits than its factorization.

6676132352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 182 counting only the distinct ones).

The product of its digits is 272160, while the sum is 41.

The square root of 6676132352 is about 81707.6027796679. The cubic root of 6676132352 is about 1882.9623916076.

The spelling of 6676132352 in words is "six billion, six hundred seventy-six million, one hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 157 184 256 314 368 512 529 628 736 1058 1256 1472 2116 2512 2944 3611 4232 5024 5888 7222 8464 10048 11776 14444 16928 20096 24649 28888 33856 40192 49298 57776 67712 80384 83053 98596 115552 135424 166106 197192 231104 270848 332212 394384 462208 566927 664424 788768 924416 1133854 1328848 1577536 1848832 2267708 2657696 3155072 4535416 5315392 6310144 9070832 10630784 12620288 13039321 18141664 21261568 26078642 36283328 42523136 52157284 72566656 104314568 145133312 208629136 290266624 417258272 834516544 1669033088 3338066176 6676132352