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6780830272 = 266114911657
BaseRepresentation
bin1100101000010101…
…10100001001000000
3122111120022212102221
412110022310021000
5102341343032042
63040504420424
7330015051316
oct62412641100
918446285387
106780830272
11296a669167
121392a77714
13840a99408
144847c80b6
1529a474d67
hex1942b4240

6780830272 has 56 divisors (see below), whose sum is σ = 13769263800. Its totient is φ = 3312168960.

The previous prime is 6780830267. The next prime is 6780830279. The reversal of 6780830272 is 2720380876.

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 6780534336 = 544^2 + 82344^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6780830279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575868 + ... + 587524.

Almost surely, 26780830272 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 6780830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884631900).

6780830272 is an abundant number, since it is smaller than the sum of its proper divisors (6988433528).

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

6780830272 is a wasteful number, since it uses less digits than its factorization.

6780830272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11879 (or 11869 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 6780830272 is about 82345.7969297766. The cubic root of 6780830272 is about 1892.7545170205.

The spelling of 6780830272 in words is "six billion, seven hundred eighty million, eight hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 61 64 122 149 244 298 488 596 976 1192 1952 2384 3904 4768 9089 9536 11657 18178 23314 36356 46628 72712 93256 145424 186512 290848 373024 581696 711077 746048 1422154 1736893 2844308 3473786 5688616 6947572 11377232 13895144 22754464 27790288 45508928 55580576 105950473 111161152 211900946 423801892 847603784 1695207568 3390415136 6780830272