Base | Representation |
---|---|
bin | 110010001011001100… |
… | …1001000100010000000 |
3 | 101022010021101111212200 |
4 | 1210112121020202000 |
5 | 3231132431312241 |
6 | 121255525353200 |
7 | 10533066531540 |
oct | 1442631104200 |
9 | 338107344780 |
10 | 107749869696 |
11 | 41772aa0997 |
12 | 18a71268800 |
13 | a212295a61 |
14 | 5302417320 |
15 | 2c097c74b6 |
hex | 1916648880 |
107749869696 has 384 divisors, whose sum is σ = 360471720960. Its totient is φ = 30259353600.
The previous prime is 107749869671. The next prime is 107749869697. The reversal of 107749869696 is 696968947701.
107749869696 is a `hidden beast` number, since 1 + 0 + 77 + 498 + 6 + 9 + 69 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×1077498696962 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (107749869697) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130289635 + ... + 130290461.
It is an arithmetic number, because the mean of its divisors is an integer number (938728440).
Almost surely, 2107749869696 is an apocalyptic number.
107749869696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 107749869696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180235860480).
107749869696 is an abundant number, since it is smaller than the sum of its proper divisors (252721851264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107749869696 is a wasteful number, since it uses less digits than its factorization.
107749869696 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1112 (or 1097 counting only the distinct ones).
The product of its (nonzero) digits is 246903552, while the sum is 72.
The spelling of 107749869696 in words is "one hundred seven billion, seven hundred forty-nine million, eight hundred sixty-nine thousand, six hundred ninety-six".
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