Base | Representation |
---|---|
bin | 10101000110011010011001… |
… | …00001001000000111001000 |
3 | 20002021210000220202212200100 |
4 | 22203031030201020013020 |
5 | 22040203310223413310 |
6 | 242403440404005400 |
7 | 12526163452603350 |
oct | 1243151441100710 |
9 | 202253026685610 |
10 | 46399815451080 |
11 | 1386a0621aa553 |
12 | 5254718390860 |
13 | 1cb7639c5b340 |
14 | b65a97b4bb60 |
15 | 556e74296ec0 |
hex | 2a334c8481c8 |
46399815451080 has 1536 divisors, whose sum is σ = 193879764449280. Its totient is φ = 9364045824000.
The previous prime is 46399815451037. The next prime is 46399815451103. The reversal of 46399815451080 is 8015451899364.
46399815451080 is a `hidden beast` number, since 4 + 6 + 3 + 9 + 9 + 8 + 1 + 545 + 1 + 0 + 80 = 666.
It is a Cunningham number, because it is equal to 68117412-1.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 46399815450999 and 46399815451017.
It is an unprimeable number.
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 383 ways as a sum of consecutive naturals, for example, 18405320220 + ... + 18405322740.
It is an arithmetic number, because the mean of its divisors is an integer number (126223804980).
Almost surely, 246399815451080 is an apocalyptic number.
46399815451080 is a gapful number since it is divisible by the number (40) 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 46399815451080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96939882224640).
46399815451080 is an abundant number, since it is smaller than the sum of its proper divisors (147479948998200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46399815451080 is a wasteful number, since it uses less digits than its factorization.
46399815451080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2863 (or 2856 counting only the distinct ones).
The product of its (nonzero) digits is 37324800, while the sum is 63.
The spelling of 46399815451080 in words is "forty-six trillion, three hundred ninety-nine billion, eight hundred fifteen million, four hundred fifty-one thousand, eighty".
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