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6820779330 = 2325891675099
BaseRepresentation
bin1100101101000110…
…01101010101000010
3122121100111111020200
412112203031111002
5102432104414310
63044452550030
7331011445011
oct62643152502
918540444220
106820779330
112990174512
1213a4322316
13849145a01
14489c26a78
1529dc169c0
hex1968cd542

6820779330 has 96 divisors (see below), whose sum is σ = 18044208000. Its totient is φ = 1787318016.

The previous prime is 6820779281. The next prime is 6820779331. The reversal of 6820779330 is 339770286.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6820779331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1335121 + ... + 1340219.

It is an arithmetic number, because the mean of its divisors is an integer number (187960500).

Almost surely, 26820779330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6820779330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022104000).

6820779330 is an abundant number, since it is smaller than the sum of its proper divisors (11223428670).

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

6820779330 is a wasteful number, since it uses less digits than its factorization.

6820779330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5365 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 6820779330 is about 82588.0096018786. The cubic root of 6820779330 is about 1896.4642766913.

The spelling of 6820779330 in words is "six billion, eight hundred twenty million, seven hundred seventy-nine thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 167 178 267 334 445 501 534 801 835 890 1002 1335 1503 1602 1670 2505 2670 3006 4005 5010 5099 7515 8010 10198 14863 15030 15297 25495 29726 30594 44589 45891 50990 74315 76485 89178 91782 133767 148630 152970 222945 229455 267534 445890 453811 458910 668835 851533 907622 1337670 1361433 1703066 2269055 2554599 2722866 4084299 4257665 4538110 5109198 6807165 7663797 8168598 8515330 12772995 13614330 15327594 20421495 25545990 38318985 40842990 75786437 76637970 151572874 227359311 378932185 454718622 682077933 757864370 1136796555 1364155866 2273593110 3410389665 6820779330