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6780007296 = 273221127893
BaseRepresentation
bin1100101000001111…
…01011001110000000
3122111111210001112100
412110013223032000
5102341140213141
63040435030400
7330005053056
oct62407531600
918444701470
106780007296
11296a156917
12139273b400
1384086b94a
144846521d6
1529a3610b6
hex1941eb380

6780007296 has 96 divisors (see below), whose sum is σ = 19603345320. Its totient is φ = 2249210880.

The previous prime is 6780007277. The next prime is 6780007319. The reversal of 6780007296 is 6927000876.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229126 + ... + 257018.

Almost surely, 26780007296 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 6780007296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9801672660).

6780007296 is an abundant number, since it is smaller than the sum of its proper divisors (12823338024).

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

6780007296 is a wasteful number, since it uses less digits than its factorization.

6780007296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28124 (or 28109 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 6780007296 is about 82340.7997046422. The cubic root of 6780007296 is about 1892.6779406279.

The spelling of 6780007296 in words is "six billion, seven hundred eighty million, seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 288 384 422 576 633 844 1152 1266 1688 1899 2532 3376 3798 5064 6752 7596 10128 13504 15192 20256 27008 27893 30384 40512 55786 60768 81024 83679 111572 121536 167358 223144 243072 251037 334716 446288 502074 669432 892576 1004148 1338864 1785152 2008296 2677728 3570304 4016592 5355456 5885423 8033184 10710912 11770846 16066368 17656269 23541692 32132736 35312538 47083384 52968807 70625076 94166768 105937614 141250152 188333536 211875228 282500304 376667072 423750456 565000608 753334144 847500912 1130001216 1695001824 2260002432 3390003648 6780007296