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107084809769 = 7217128553193
BaseRepresentation
bin110001110111011000…
…0001000011000101001
3101020101220221222011112
41203232300020120221
53223302202403034
6121105531040105
710510442602400
oct1435660103051
9336356858145
10107084809769
1141461646593
12189065a0035
13a13756b082
14527bd76637
152bbb2077ce
hex18eec08629

107084809769 has 12 divisors (see below), whose sum is σ = 131895577044. Its totient is φ = 86387745024.

The previous prime is 107084809757. The next prime is 107084809801. The reversal of 107084809769 is 967908480701.

It can be written as a sum of positive squares in 2 ways, for example, as 47347584025 + 59737225744 = 217595^2 + 244412^2 .

It is not a de Polignac number, because 107084809769 - 224 = 107068032553 is a prime.

It is a super-2 number, since 2×1070848097692 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (107084809709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64275764 + ... + 64277429.

It is an arithmetic number, because the mean of its divisors is an integer number (10991298087).

Almost surely, 2107084809769 is an apocalyptic number.

It is an amenable number.

107084809769 is a deficient number, since it is larger than the sum of its proper divisors (24810767275).

107084809769 is a wasteful number, since it uses less digits than its factorization.

107084809769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128553224 (or 128553217 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 59.

The spelling of 107084809769 in words is "one hundred seven billion, eighty-four million, eight hundred nine thousand, seven hundred sixty-nine".

Divisors: 1 7 17 49 119 833 128553193 899872351 2185404281 6299106457 15297829967 107084809769