Search a number
-
+
107429550317759 = 3113163029419711
BaseRepresentation
bin11000011011010011100100…
…001011110110000010111111
3112002101011110001222112222002
4120123103210023312002333
5103040111204340132014
61020252242030212515
731425346255645415
oct3033234413660277
9462334401875862
10107429550317759
1131259686520a2a
121007069705413b
1347c3742259817
141c75891a3b2b5
15c64750cb6dde
hex61b4e42f60bf

107429550317759 has 16 divisors (see below), whose sum is σ = 111743585648640. Its totient is φ = 103168579332000.

The previous prime is 107429550317717. The next prime is 107429550317797. The reversal of 107429550317759 is 957713055924701.

It is a cyclic number.

It is not a de Polignac number, because 107429550317759 - 220 = 107429549269183 is a prime.

It is a super-4 number, since 4×1074295503177594 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107429550317695 and 107429550317704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107429550317359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255750914 + ... + 256170624.

It is an arithmetic number, because the mean of its divisors is an integer number (6983974103040).

Almost surely, 2107429550317759 is an apocalyptic number.

107429550317759 is a deficient number, since it is larger than the sum of its proper divisors (4314035330881).

107429550317759 is a wasteful number, since it uses less digits than its factorization.

107429550317759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482902.

The product of its (nonzero) digits is 83349000, while the sum is 65.

The spelling of 107429550317759 in words is "one hundred seven trillion, four hundred twenty-nine billion, five hundred fifty million, three hundred seventeen thousand, seven hundred fifty-nine".

Divisors: 1 31 131 4061 63029 419711 1953899 8256799 13011041 54982141 255960769 1704446371 26453964619 820072903189 3465469365089 107429550317759