Base | Representation |
---|---|
bin | 10000001100001000001… |
… | …01111011101100000000 |
3 | 1222011211012100212011000 |
4 | 20012010011323230000 |
5 | 33103213313211041 |
6 | 1103313454452000 |
7 | 55121545611000 |
oct | 10060405735400 |
9 | 1864735325130 |
10 | 556266928896 |
11 | 1a4a031a7a28 |
12 | 8b984804000 |
13 | 405c0375543 |
14 | 1cccdda8000 |
15 | e70a78abb6 |
hex | 818417bb00 |
556266928896 has 1152 divisors, whose sum is σ = 2066238720000. Its totient is φ = 147093553152.
The previous prime is 556266928817. The next prime is 556266928897. The reversal of 556266928896 is 698829662655.
556266928896 is a `hidden beast` number, since 556 + 2 + 6 + 69 + 2 + 8 + 8 + 9 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-4 number, since 4×5562669288964 (a number of 48 digits) contains 4444 as substring.
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (556266928897) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2387411596 + ... + 2387411828.
It is an arithmetic number, because the mean of its divisors is an integer number (1793610000).
Almost surely, 2556266928896 is an apocalyptic number.
556266928896 is a gapful number since it is divisible by the number (56) 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 556266928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033119360000).
556266928896 is an abundant number, since it is smaller than the sum of its proper divisors (1509971791104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
556266928896 is a wasteful number, since it uses less digits than its factorization.
556266928896 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 351 (or 317 counting only the distinct ones).
The product of its digits is 671846400, while the sum is 72.
The spelling of 556266928896 in words is "five hundred fifty-six billion, two hundred sixty-six million, nine hundred twenty-eight thousand, eight hundred ninety-six".
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