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20782036106 = 21319397105967
BaseRepresentation
bin10011010110101101…
…001011010010001010
31222122100001211002222
4103112231023102022
5320030200123411
613314103054042
71333666251356
oct232655132212
958570054088
1020782036106
1188a4a10357
12403ba41322
131c6270b0b0
1410120d6466
158197454db
hex4d6b4b48a

20782036106 has 32 divisors (see below), whose sum is σ = 35427221760. Its totient is φ = 9063907776.

The previous prime is 20782036103. The next prime is 20782036109. The reversal of 20782036106 is 60163028702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20782036103) and next prime (20782036109).

It is a super-2 number, since 2×207820361062 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20782036103) 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 15 ways as a sum of consecutive naturals, for example, 143135 + ... + 249101.

It is an arithmetic number, because the mean of its divisors is an integer number (1107100680).

Almost surely, 220782036106 is an apocalyptic number.

20782036106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20782036106 is a deficient number, since it is larger than the sum of its proper divisors (14645185654).

20782036106 is a wasteful number, since it uses less digits than its factorization.

20782036106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106398.

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 20782036106 in words is "twenty billion, seven hundred eighty-two million, thirty-six thousand, one hundred six".

Divisors: 1 2 13 19 26 38 247 397 494 794 5161 7543 10322 15086 98059 105967 196118 211934 1377571 2013373 2755142 4026746 26173849 42068899 52347698 84137798 546895687 799309081 1093791374 1598618162 10391018053 20782036106