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7000620825 = 3521117617809
BaseRepresentation
bin1101000010100010…
…01111111100011001
3200001212220101101210
412201101033330121
5103314124331300
63114355333333
7335324203152
oct64121177431
920055811353
107000620825
112a72739050
1214345b1249
138774926b3
144a5a7c929
152ae8dd050
hex1a144ff19

7000620825 has 96 divisors (see below), whose sum is σ = 13407534720. Its totient is φ = 3185459200.

The previous prime is 7000620817. The next prime is 7000620827. The reversal of 7000620825 is 5280260007.

It is not a de Polignac number, because 7000620825 - 23 = 7000620817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7000620792 and 7000620801.

It is not an unprimeable number, because it can be changed into a prime (7000620827) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8653021 + ... + 8653829.

It is an arithmetic number, because the mean of its divisors is an integer number (139661820).

Almost surely, 27000620825 is an apocalyptic number.

7000620825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7000620825 is a deficient number, since it is larger than the sum of its proper divisors (6406913895).

7000620825 is a wasteful number, since it uses less digits than its factorization.

7000620825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7000620825 is about 83669.7127101558. The cubic root of 7000620825 is about 1912.9877332674.

The spelling of 7000620825 in words is "seven billion, six hundred twenty thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 17 25 33 51 55 75 85 165 187 255 275 425 561 617 809 825 935 1275 1851 2427 2805 3085 4045 4675 6787 8899 9255 10489 12135 13753 14025 15425 20225 20361 26697 31467 33935 41259 44495 46275 52445 60675 68765 101805 115379 133485 151283 157335 169675 206295 222475 262225 343825 346137 453849 499153 509025 576895 667425 756415 786675 1031475 1497459 1730685 2269245 2495765 2884475 3782075 5490683 7487295 8485601 8653425 11346225 12478825 16472049 25456803 27453415 37436475 42428005 82360245 93341611 127284015 137267075 212140025 280024833 411801225 466708055 636420075 1400124165 2333540275 7000620825