Base | Representation |
---|---|
bin | 111001011100111101… |
… | …1000100110010100000 |
3 | 102210110110010211211001 |
4 | 1302321323010302200 |
5 | 4010134324332420 |
6 | 132402414201344 |
7 | 11625300500641 |
oct | 1627173046240 |
9 | 383413124731 |
10 | 123378355360 |
11 | 48362957547 |
12 | 1bab31b3254 |
13 | b8330a2300 |
14 | 5d85cbb6c8 |
15 | 3321884b0a |
hex | 1cb9ec4ca0 |
123378355360 has 288 divisors, whose sum is σ = 330985968768. Its totient is φ = 43358515200.
The previous prime is 123378355343. The next prime is 123378355367. The reversal of 123378355360 is 63553873321.
It is a Harshad number since it is a multiple of its sum of digits (46).
It is a self number, because there is not a number n which added to its sum of digits gives 123378355360.
It is not an unprimeable number, because it can be changed into a prime (123378355367) 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, 176003010 + ... + 176003710.
It is an arithmetic number, because the mean of its divisors is an integer number (1149256836).
Almost surely, 2123378355360 is an apocalyptic number.
123378355360 is a gapful number since it is divisible by the number (10) 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 123378355360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165492984384).
123378355360 is an abundant number, since it is smaller than the sum of its proper divisors (207607613408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123378355360 is a wasteful number, since it uses less digits than its factorization.
123378355360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1048 (or 1027 counting only the distinct ones).
The product of its (nonzero) digits is 1360800, while the sum is 46.
The spelling of 123378355360 in words is "one hundred twenty-three billion, three hundred seventy-eight million, three hundred fifty-five thousand, three hundred sixty".
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