Base | Representation |
---|---|
bin | 10001110000110011100001… |
… | …100110011000101001000000 |
3 | 101020121021001102111002011200 |
4 | 101300303201212120221000 |
5 | 40214412042412200043 |
6 | 434052044202141200 |
7 | 22312013351512500 |
oct | 2160634146305100 |
9 | 336537042432150 |
10 | 78120650115648 |
11 | 22989866430a38 |
12 | 891837b7b1800 |
13 | 34789903a9a2a |
14 | 15410b991ba00 |
15 | 90716da2d7d3 |
hex | 470ce1998a40 |
78120650115648 has 504 divisors, whose sum is σ = 277003822750200. Its totient is φ = 20915469582336.
The previous prime is 78120650115611. The next prime is 78120650115671. The reversal of 78120650115648 is 84651105602187.
78120650115648 is a `hidden beast` number, since 7 + 8 + 1 + 2 + 0 + 65 + 0 + 11 + 564 + 8 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 64490022402624 + 13630627713024 = 8030568^2 + 3691968^2 .
It is a tau number, because it is divible by the number of its divisors (504).
It is a super-3 number, since 3×781206501156483 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 78120650115594 and 78120650115603.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109520538 + ... + 110231526.
It is an arithmetic number, because the mean of its divisors is an integer number (549610759425).
Almost surely, 278120650115648 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 78120650115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138501911375100).
78120650115648 is an abundant number, since it is smaller than the sum of its proper divisors (198883172634552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
78120650115648 is a wasteful number, since it uses less digits than its factorization.
78120650115648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 711267 (or 711247 counting only the distinct ones).
The product of its (nonzero) digits is 3225600, while the sum is 54.
The spelling of 78120650115648 in words is "seventy-eight trillion, one hundred twenty billion, six hundred fifty million, one hundred fifteen thousand, six hundred forty-eight".
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