Search a number
-
+
6642788490 = 23251322924793
BaseRepresentation
bin1100010111111000…
…01110100010001010
3122010221120121201100
412023330032202022
5102101023212430
63015054002230
7323420525202
oct61374164212
918127517640
106642788490
1128a9754348
1213547a6376
1381b2c64a0
14470333402
1528d2a8960
hex18bf0e88a

6642788490 has 96 divisors (see below), whose sum is σ = 18681783120. Its totient is φ = 1627941888.

The previous prime is 6642788473. The next prime is 6642788501. The reversal of 6642788490 is 948872466.

It can be written as a sum of positive squares in 8 ways, for example, as 5252915529 + 1389872961 = 72477^2 + 37281^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255534 + ... + 280326.

Almost surely, 26642788490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6642788490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9340891560).

6642788490 is an abundant number, since it is smaller than the sum of its proper divisors (12038994630).

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

6642788490 is a wasteful number, since it uses less digits than its factorization.

6642788490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25048 (or 25045 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 6642788490 is about 81503.3035526782. The cubic root of 6642788490 is about 1879.8223472163.

The spelling of 6642788490 in words is "six billion, six hundred forty-two million, seven hundred eighty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 229 234 390 458 585 687 1145 1170 1374 2061 2290 2977 3435 4122 5954 6870 8931 10305 14885 17862 20610 24793 26793 29770 44655 49586 53586 74379 89310 123965 133965 148758 223137 247930 267930 322309 371895 446274 644618 743790 966927 1115685 1611545 1933854 2231370 2900781 3223090 4834635 5677597 5801562 9669270 11355194 14503905 17032791 28387985 29007810 34065582 51098373 56775970 73808761 85163955 102196746 147617522 170327910 221426283 255491865 369043805 442852566 510983730 664278849 738087610 1107131415 1328557698 2214262830 3321394245 6642788490