Base | Representation |
---|---|
bin | 110010000110001011… |
… | …1110110011110101000 |
3 | 101021200120001201201021 |
4 | 1210030113312132220 |
5 | 3230311412331243 |
6 | 121231122302224 |
7 | 10525655612200 |
oct | 1441427663650 |
9 | 337616051637 |
10 | 107581761448 |
11 | 41697110757 |
12 | 18a24ab7974 |
13 | a1b64c6815 |
14 | 52c7d77400 |
15 | 2be9b6c6ed |
hex | 190c5f67a8 |
107581761448 has 96 divisors (see below), whose sum is σ = 243896205600. Its totient is φ = 44304624000.
The previous prime is 107581761439. The next prime is 107581761491. The reversal of 107581761448 is 844167185701.
It is a junction number, because it is equal to n+sod(n) for n = 107581761395 and 107581761404.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2376223 + ... + 2421073.
It is an arithmetic number, because the mean of its divisors is an integer number (2540585475).
Almost surely, 2107581761448 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 107581761448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121948102800).
107581761448 is an abundant number, since it is smaller than the sum of its proper divisors (136314444152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107581761448 is a wasteful number, since it uses less digits than its factorization.
107581761448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 45111 (or 45100 counting only the distinct ones).
The product of its (nonzero) digits is 1505280, while the sum is 52.
The spelling of 107581761448 in words is "one hundred seven billion, five hundred eighty-one million, seven hundred sixty-one thousand, four hundred forty-eight".
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