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6420656641 = 72114472
BaseRepresentation
bin1011111101011001…
…10111001000000001
3121120110121011002211
411332230313020001
5101122142003031
62541040542121
7315052452400
oct57654671001
917513534084
106420656641
1127a5325403
1212b2321941
137b4290619
1444ca2d637
15278a2bbb1
hex17eb37201

6420656641 has 9 divisors (see below), whose sum is σ = 7469579649. Its totient is φ = 5502939204.

The previous prime is 6420656633. The next prime is 6420656717. The reversal of 6420656641 is 1466560246.

The square root of 6420656641 is 80129.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 6420656641 - 23 = 6420656633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6420656594 and 6420656603.

It is not an unprimeable number, because it can be changed into a prime (6420656141) 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 8 ways as a sum of consecutive naturals, for example, 555180 + ... + 566626.

Almost surely, 26420656641 is an apocalyptic number.

6420656641 is the 80129-th square number.

6420656641 is the 40065-th centered octagonal number.

It is an amenable number.

6420656641 is a deficient number, since it is larger than the sum of its proper divisors (1048923008).

6420656641 is an frugal number, since it uses more digits than its factorization.

6420656641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22908 (or 11454 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The cubic root of 6420656641 is about 1858.6308806340.

The spelling of 6420656641 in words is "six billion, four hundred twenty million, six hundred fifty-six thousand, six hundred forty-one".

Divisors: 1 7 49 11447 80129 560903 131033809 917236663 6420656641