| Base | Representation |
|---|---|
| bin | 110010010001000111… |
| … | …0010100001100000000 |
| 3 | 101022122002212220000000 |
| 4 | 1210202032110030000 |
| 5 | 3232034240013243 |
| 6 | 121331340000000 |
| 7 | 10541026632015 |
| oct | 1444216241400 |
| 9 | 338562786000 |
| 10 | 107948360448 |
| 11 | 41865042a35 |
| 12 | 18b07830000 |
| 13 | a2444420c6 |
| 14 | 532092570c |
| 15 | 2c1be345d3 |
| hex | 1922394300 |
107948360448 has 576 divisors, whose sum is σ = 344655682560. Its totient is φ = 33666969600.
The previous prime is 107948360417. The next prime is 107948360449. The reversal of 107948360448 is 844063849701.
107948360448 is a `hidden beast` number, since 107 + 94 + 8 + 3 + 6 + 0 + 448 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×1079483604482 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 107948360394 and 107948360403.
It is not an unprimeable number, because it can be changed into a prime (107948360449) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1068795598 + ... + 1068795698.
It is an arithmetic number, because the mean of its divisors is an integer number (598360560).
Almost surely, 2107948360448 is an apocalyptic number.
107948360448 is a gapful number since it is divisible by the number (18) 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 107948360448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172327841280).
107948360448 is an abundant number, since it is smaller than the sum of its proper divisors (236707322112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107948360448 is an frugal number, since it uses more digits than its factorization.
107948360448 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 244 (or 212 counting only the distinct ones).
The product of its (nonzero) digits is 4644864, while the sum is 54.
The spelling of 107948360448 in words is "one hundred seven billion, nine hundred forty-eight million, three hundred sixty thousand, four hundred forty-eight".
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