Base | Representation |
---|---|
bin | 1110000100110101101001… |
… | …11100000000100010001000 |
3 | 11001121000222211010202010100 |
4 | 13002122310330000202020 |
5 | 13024111330402332210 |
6 | 145455225255245400 |
7 | 6343151352450000 |
oct | 702326474004210 |
9 | 131530884122110 |
10 | 30952569964680 |
11 | 9953a028a4451 |
12 | 357a995079860 |
13 | 1436a79222c20 |
14 | 790180527000 |
15 | 38a2325e65c0 |
hex | 1c26b4f00888 |
30952569964680 has 1920 divisors, whose sum is σ = 134315730057600. Its totient is φ = 6127402401792.
The previous prime is 30952569964637. The next prime is 30952569964681. The reversal of 30952569964680 is 8646996525903.
30952569964680 is a `hidden beast` number, since 3 + 0 + 9 + 52 + 569 + 9 + 6 + 4 + 6 + 8 + 0 = 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 = 30952569964599 and 30952569964608.
It is not an unprimeable number, because it can be changed into a prime (30952569964681) 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 479 ways as a sum of consecutive naturals, for example, 24125151319 + ... + 24125152601.
It is an arithmetic number, because the mean of its divisors is an integer number (69956109405).
Almost surely, 230952569964680 is an apocalyptic number.
30952569964680 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 30952569964680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67157865028800).
30952569964680 is an abundant number, since it is smaller than the sum of its proper divisors (103363160092920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30952569964680 is a wasteful number, since it uses less digits than its factorization.
30952569964680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1473 (or 1445 counting only the distinct ones).
The product of its (nonzero) digits is 755827200, while the sum is 72.
The spelling of 30952569964680 in words is "thirty trillion, nine hundred fifty-two billion, five hundred sixty-nine million, nine hundred sixty-four thousand, six hundred eighty".
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