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6739189056 = 263295312277
BaseRepresentation
bin1100100011010111…
…11101110101000000
3122101122222021102200
412101223331311000
5102300213022211
63032420113200
7326001106335
oct62153756500
918348867380
106739189056
112949107536
121380b35800
13835279842
1447d06898c
1529699bb56
hex191afdd40

6739189056 has 84 divisors (see below), whose sum is σ = 19338513012. Its totient is φ = 2243856384.

The previous prime is 6739189043. The next prime is 6739189091. The reversal of 6739189056 is 6509819376.

It can be written as a sum of positive squares in 2 ways, for example, as 1537894656 + 5201294400 = 39216^2 + 72120^2 .

It is a super-3 number, since 3×67391890563 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6739188993 and 6739189011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 542790 + ... + 555066.

It is an arithmetic number, because the mean of its divisors is an integer number (230220393).

Almost surely, 26739189056 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 6739189056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669256506).

6739189056 is an abundant number, since it is smaller than the sum of its proper divisors (12599323956).

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

6739189056 is a wasteful number, since it uses less digits than its factorization.

6739189056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13248 (or 13235 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 6739189056 is about 82092.5639507014. The cubic root of 6739189056 is about 1888.8720774903.

The spelling of 6739189056 in words is "six billion, seven hundred thirty-nine million, one hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 953 1906 2859 3812 5718 7624 8577 11436 12277 15248 17154 22872 24554 30496 34308 36831 45744 49108 60992 68616 73662 91488 98216 110493 137232 147324 182976 196432 220986 274464 294648 392864 441972 548928 589296 785728 883944 1178592 1767888 2357184 3535776 7071552 11699981 23399962 35099943 46799924 70199886 93599848 105299829 140399772 187199696 210599658 280799544 374399392 421199316 561599088 748798784 842398632 1123198176 1684797264 2246396352 3369594528 6739189056