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7128639496 = 2311241533389
BaseRepresentation
bin1101010001110011…
…00110100000001000
3200101210210102000001
412220321212200020
5104044412430441
63135211252344
7341440302346
oct65071464010
920353712001
107128639496
113028a27400
12146b44a0b4
13897b663a4
144b8a84996
152bac79731
hex1a8e66808

7128639496 has 96 divisors (see below), whose sum is σ = 15338597400. Its totient is φ = 3100697600.

The previous prime is 7128639487. The next prime is 7128639499. The reversal of 7128639496 is 6949368217.

It can be written as a sum of positive squares in 4 ways, for example, as 6679792900 + 448846596 = 81730^2 + 21186^2 .

It is a super-2 number, since 2×71286394962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7128639499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101770 + ... + 2105158.

Almost surely, 27128639496 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 7128639496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7669298700).

7128639496 is an abundant number, since it is smaller than the sum of its proper divisors (8209957904).

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

7128639496 is a wasteful number, since it uses less digits than its factorization.

7128639496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3496 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 55.

The square root of 7128639496 is about 84431.2708420287. The cubic root of 7128639496 is about 1924.5781497381.

The spelling of 7128639496 in words is "seven billion, one hundred twenty-eight million, six hundred thirty-nine thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 22 41 44 53 82 88 106 121 164 212 242 328 424 451 484 583 902 968 1166 1804 2173 2332 3389 3608 4346 4664 4961 6413 6778 8692 9922 12826 13556 17384 19844 23903 25652 27112 37279 39688 47806 51304 74558 95612 138949 149116 179617 191224 262933 277898 298232 359234 410069 525866 555796 718468 820138 1051732 1111592 1436936 1528439 1640276 1975787 2103464 3056878 3280552 3951574 6113756 7364297 7903148 12227512 14728594 15806296 16812829 21733657 29457188 33625658 43467314 58914376 67251316 81007267 86934628 134502632 162014534 173869256 324029068 648058136 891079937 1782159874 3564319748 7128639496