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20445779754 = 2343717319717
BaseRepresentation
bin10011000010101010…
…011101011100101010
31221202220100020010000
4103002222131130222
5313333104423004
613220452003430
71322444155221
oct230252353452
957686306100
1020445779754
118742122a44
123b67300576
131c0ab5773a
14dbd5a5cb8
157e9e73c39
hex4c2a9d72a

20445779754 has 80 divisors (see below), whose sum is σ = 47326276008. Its totient is φ = 6592399488.

The previous prime is 20445779747. The next prime is 20445779801. The reversal of 20445779754 is 45797754402.

20445779754 is a `hidden beast` number, since 20 + 44 + 577 + 9 + 7 + 5 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19704579129 + 741200625 = 140373^2 + 27225^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20445779754.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1027104 + ... + 1046820.

Almost surely, 220445779754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20445779754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23663138004).

20445779754 is an abundant number, since it is smaller than the sum of its proper divisors (26880496254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20445779754 is a wasteful number, since it uses less digits than its factorization.

20445779754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19941 (or 19932 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 20445779754 in words is "twenty billion, four hundred forty-five million, seven hundred seventy-nine thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 173 222 333 346 519 666 999 1038 1557 1998 2997 3114 4671 5994 6401 9342 12802 14013 19203 19717 28026 38406 39434 57609 59151 115218 118302 172827 177453 345654 354906 518481 532359 729529 1036962 1064718 1459058 1597077 2188587 3194154 3411041 4377174 6565761 6822082 10233123 13131522 19697283 20466246 30699369 39394566 59091849 61398738 92098107 118183698 126208517 184196214 252417034 276294321 378625551 552588642 757251102 1135876653 2271753306 3407629959 6815259918 10222889877 20445779754