Base | Representation |
---|---|
bin | 100101011001011101001100… |
… | …1011101010010011101100000 |
3 | 1121010201201002012111220002000 |
4 | 1022302322121131102131200 |
5 | 321104041014131324410 |
6 | 3123343234132524000 |
7 | 126201102514116300 |
oct | 11262723135223540 |
9 | 1533651065456060 |
10 | 328954119792480 |
11 | 958a6727896706 |
12 | 30a89619180600 |
13 | 111723181b0840 |
14 | 5b33670263600 |
15 | 2806cb9065dc0 |
hex | 12b2e99752760 |
328954119792480 has 1152 divisors, whose sum is σ = 1518250024972800. Its totient is φ = 65752762134528.
The previous prime is 328954119792457. The next prime is 328954119792481. The reversal of 328954119792480 is 84297911459823.
It is a happy number.
328954119792480 is a `hidden beast` number, since 3 + 2 + 8 + 9 + 5 + 41 + 19 + 7 + 92 + 480 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 328954119792399 and 328954119792408.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (328954119792481) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49139179 + ... + 55430741.
It is an arithmetic number, because the mean of its divisors is an integer number (1317925368900).
Almost surely, 2328954119792480 is an apocalyptic number.
328954119792480 is a gapful number since it is divisible by the number (30) 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 328954119792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759125012486400).
328954119792480 is an abundant number, since it is smaller than the sum of its proper divisors (1189295905180320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
328954119792480 is a wasteful number, since it uses less digits than its factorization.
328954119792480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6291633 (or 6291612 counting only the distinct ones).
The product of its (nonzero) digits is 313528320, while the sum is 72.
The spelling of 328954119792480 in words is "three hundred twenty-eight trillion, nine hundred fifty-four billion, one hundred nineteen million, seven hundred ninety-two thousand, four hundred eighty".
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