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20681953029 = 3211320336237
BaseRepresentation
bin10011010000101111…
…011000111100000101
31222101100202001221100
4103100233120330011
5314324034444104
613300130010313
71331342462103
oct232057307405
958340661840
1020681953029
118853472471
124012416999
131c47a6883a
141002ac2c73
15810a76139
hex4d0bd8f05

20681953029 has 12 divisors (see below), whose sum is σ = 30138304716. Its totient is φ = 13665950592.

The previous prime is 20681952989. The next prime is 20681953081. The reversal of 20681953029 is 92035918602.

20681953029 is a `hidden beast` number, since 20 + 68 + 19 + 530 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 575280225 + 20106672804 = 23985^2 + 141798^2 .

It is not a de Polignac number, because 20681953029 - 224 = 20665175813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20681953099) 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 11 ways as a sum of consecutive naturals, for example, 10167102 + ... + 10169135.

It is an arithmetic number, because the mean of its divisors is an integer number (2511525393).

Almost surely, 220681953029 is an apocalyptic number.

It is an amenable number.

20681953029 is a deficient number, since it is larger than the sum of its proper divisors (9456351687).

20681953029 is a wasteful number, since it uses less digits than its factorization.

20681953029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20336356 (or 20336353 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

It can be divided in two parts, 20681 and 953029, that added together give a triangular number (973710 = T1395).

The spelling of 20681953029 in words is "twenty billion, six hundred eighty-one million, nine hundred fifty-three thousand, twenty-nine".

Divisors: 1 3 9 113 339 1017 20336237 61008711 183026133 2297994781 6893984343 20681953029