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626768305969 = 132608992
BaseRepresentation
bin10010001111011100100…
…11010101111100110001
32012220210120010220001211
421013232103111330301
540232110141242334
61155533340000121
763165621461251
oct11075623257461
92186716126054
10626768305969
112218a1407013
12a157b530041
1347147637a00
142249b413961
1511484dd7a64
hex91ee4d5f31

626768305969 has 9 divisors (see below), whose sum is σ = 678701085483. Its totient is φ = 578545859112.

The previous prime is 626768305939. The next prime is 626768305979. The reversal of 626768305969 is 969503867626.

The square root of 626768305969 is 791687.

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

It can be written as a sum of positive squares in only one way, i.e., 92717205025 + 534051100944 = 304495^2 + 730788^2 .

It is not a de Polignac number, because 626768305969 - 217 = 626768174897 is a prime.

It is a super-2 number, since 2×6267683059692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (626768305939) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10261482 + ... + 10322380.

Almost surely, 2626768305969 is an apocalyptic number.

626768305969 is the 791687-th square number.

626768305969 is the 395844-th centered octagonal number.

It is an amenable number.

626768305969 is a deficient number, since it is larger than the sum of its proper divisors (51932779514).

626768305969 is an frugal number, since it uses more digits than its factorization.

626768305969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121824 (or 60912 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 67.

The spelling of 626768305969 in words is "six hundred twenty-six billion, seven hundred sixty-eight million, three hundred five thousand, nine hundred sixty-nine".

Divisors: 1 13 169 60899 791687 10291931 3708688201 48212946613 626768305969