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6628670464 = 210131721723
BaseRepresentation
bin1100010110001100…
…10111110000000000
3122002222000100102111
412023012113300000
5102033414423324
63013431225104
7323156524603
oct61306276000
918088010374
106628670464
1128a1791259
12134bb18194
138183c2420
1446c4da33a
1528be1a794
hex18b197c00

6628670464 has 132 divisors (see below), whose sum is σ = 15167762344. Its totient is φ = 2877751296.

The previous prime is 6628670443. The next prime is 6628670507. The reversal of 6628670464 is 4640768266.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3846307 + ... + 3848029.

Almost surely, 26628670464 is an apocalyptic number.

6628670464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6628670464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583881172).

6628670464 is an abundant number, since it is smaller than the sum of its proper divisors (8539091880).

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

6628670464 is a wasteful number, since it uses less digits than its factorization.

6628670464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The square root of 6628670464 is about 81416.6473394723. The cubic root of 6628670464 is about 1878.4896636819.

The spelling of 6628670464 in words is "six billion, six hundred twenty-eight million, six hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 289 416 442 512 544 578 832 884 1024 1088 1156 1664 1723 1768 2176 2312 3328 3446 3536 3757 4352 4624 6656 6892 7072 7514 8704 9248 13312 13784 14144 15028 17408 18496 22399 27568 28288 29291 30056 36992 44798 55136 56576 58582 60112 73984 89596 110272 113152 117164 120224 147968 179192 220544 226304 234328 240448 295936 358384 380783 441088 468656 480896 497947 716768 761566 882176 937312 961792 995894 1433536 1523132 1764352 1874624 1923584 1991788 2867072 3046264 3749248 3847168 3983576 5734144 6092528 6473311 7498496 7967152 11468288 12185056 12946622 14996992 15934304 22936576 24370112 25893244 29993984 31868608 48740224 51786488 63737216 97480448 103572976 127474432 194960896 207145952 254948864 389921792 414291904 509897728 828583808 1657167616 3314335232 6628670464