Base | Representation |
---|---|
bin | 101010001101100101… |
… | …111001111010000000 |
3 | 11022222210100120101100 |
4 | 222031211321322000 |
5 | 1220311222300203 |
6 | 32453324134400 |
7 | 3163125550164 |
oct | 521545717200 |
9 | 138883316340 |
10 | 45325196928 |
11 | 1824998a340 |
12 | 894b397400 |
13 | 43743c196b |
14 | 229d920ca4 |
15 | 12a4277ea3 |
hex | a8d979e80 |
45325196928 has 384 divisors, whose sum is σ = 152132722560. Its totient is φ = 12813926400.
The previous prime is 45325196911. The next prime is 45325196929. The reversal of 45325196928 is 82969152354.
45325196928 is a `hidden beast` number, since 4 + 5 + 32 + 519 + 6 + 92 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
Its product of digits (4665600) is a multiple of the sum of its prime factors (3888).
It is not an unprimeable number, because it can be changed into a prime (45325196929) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11947800 + ... + 11951592.
It is an arithmetic number, because the mean of its divisors is an integer number (396178965).
Almost surely, 245325196928 is an apocalyptic number.
45325196928 is a gapful number since it is divisible by the number (48) 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 45325196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76066361280).
45325196928 is an abundant number, since it is smaller than the sum of its proper divisors (106807525632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45325196928 is a wasteful number, since it uses less digits than its factorization.
45325196928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3888 (or 3873 counting only the distinct ones).
The product of its digits is 4665600, while the sum is 54.
The spelling of 45325196928 in words is "forty-five billion, three hundred twenty-five million, one hundred ninety-six thousand, nine hundred twenty-eight".
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