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1923735712145 = 51337997802297
BaseRepresentation
bin11011111111100111100…
…101010111000110010001
320210220111110010121122012
4123333213211113012101
5223004302320242040
64031430232352305
7255661651516352
oct33774745270621
96726443117565
101923735712145
11681940726615
122709bb245695
1310c53b378120
1469175d0dd29
153509297b865
hex1bfe7957191

1923735712145 has 32 divisors (see below), whose sum is σ = 2555813345568. Its totient is φ = 1380822018048.

The previous prime is 1923735712141. The next prime is 1923735712163. The reversal of 1923735712145 is 5412175373291.

It is a Cunningham number, because it is equal to 13869882+1.

It can be written as a sum of positive squares in 16 ways, for example, as 202349727889 + 1721385984256 = 449833^2 + 1312016^2 .

It is a cyclic number.

It is not a de Polignac number, because 1923735712145 - 22 = 1923735712141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1923735712093 and 1923735712102.

It is not an unprimeable number, because it can be changed into a prime (1923735712141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1996637 + ... + 2798933.

It is an arithmetic number, because the mean of its divisors is an integer number (79869167049).

Almost surely, 21923735712145 is an apocalyptic number.

It is an amenable number.

1923735712145 is a deficient number, since it is larger than the sum of its proper divisors (632077633423).

1923735712145 is a wasteful number, since it uses less digits than its factorization.

1923735712145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803349.

The product of its digits is 1587600, while the sum is 50.

The spelling of 1923735712145 in words is "one trillion, nine hundred twenty-three billion, seven hundred thirty-five million, seven hundred twelve thousand, one hundred forty-five".

Divisors: 1 5 13 37 65 185 481 997 2405 4985 12961 36889 64805 184445 479557 802297 2397785 4011485 10429861 29684989 52149305 148424945 385904857 799890109 1929524285 3999450545 10398571417 29595934033 51992857085 147979670165 384747142429 1923735712145