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20208953820969 = 344994932
BaseRepresentation
bin1001001100001010000111…
…00000111000011100101001
32122112221211201221102110000
410212011003200320130221
510122100414134232334
6110551510515413213
74154022500135124
oct446050340703451
978487751842400
1020208953820969
116491629649481
1223247698b4209
13b37908635014
144dc1935733bb
15250a34414299
hex126143838729

20208953820969 has 15 divisors (see below), whose sum is σ = 30188744541703. Its totient is φ = 13472608908024.

The previous prime is 20208953820919. The next prime is 20208953821003. The reversal of 20208953820969 is 96902835980202.

The square root of 20208953820969 is 4495437.

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

20208953820969 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 8 + 9 + 538 + 2 + 0 + 96 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4565251856025 + 15643701964944 = 2136645^2 + 3955212^2 .

It is not a de Polignac number, because 20208953820969 - 29 = 20208953820457 is a prime.

It is a super-2 number, since 2×202089538209692 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20208953820919) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 40209187 + ... + 40708679.

Almost surely, 220208953820969 is an apocalyptic number.

20208953820969 is the 4495437-th square number.

20208953820969 is the 2247719-th centered octagonal number.

It is an amenable number.

20208953820969 is a deficient number, since it is larger than the sum of its proper divisors (9979790720734).

20208953820969 is an frugal number, since it uses more digits than its factorization.

20208953820969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998998 (or 499496 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 20208953820969 in words is "twenty trillion, two hundred eight billion, nine hundred fifty-three million, eight hundred twenty thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 81 499493 1498479 4495437 13486311 40458933 249493257049 748479771147 2245439313441 6736317940323 20208953820969