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7057088304 = 243731367103
BaseRepresentation
bin1101001001010001…
…01001111100110000
3200012211011020012220
412210220221330300
5103423103311204
63124133521040
7336611155320
oct64450517460
920184136186
107057088304
112aa15a6992
12144b4a3180
138860a37c6
144ad37b280
152b48441d9
hex1a4a29f30

7057088304 has 80 divisors (see below), whose sum is σ = 20902090752. Its totient is φ = 2009839104.

The previous prime is 7057088287. The next prime is 7057088309. The reversal of 7057088304 is 4038807507.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7057088309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71617 + ... + 138719.

Almost surely, 27057088304 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 7057088304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10451045376).

7057088304 is an abundant number, since it is smaller than the sum of its proper divisors (13845002448).

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

7057088304 is a wasteful number, since it uses less digits than its factorization.

7057088304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67434 (or 67428 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 7057088304 is about 84006.4777502307. The cubic root of 7057088304 is about 1918.1173951166.

The spelling of 7057088304 in words is "seven billion, fifty-seven million, eighty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 313 336 626 939 1252 1878 2191 2504 3756 4382 5008 6573 7512 8764 13146 15024 17528 26292 35056 52584 67103 105168 134206 201309 268412 402618 469721 536824 805236 939442 1073648 1409163 1610472 1878884 2818326 3220944 3757768 5636652 7515536 11273304 21003239 22546608 42006478 63009717 84012956 126019434 147022673 168025912 252038868 294045346 336051824 441068019 504077736 588090692 882136038 1008155472 1176181384 1764272076 2352362768 3528544152 7057088304