Base | Representation |
---|---|
bin | 11001000000101111010110… |
… | …01001011110101000000000 |
3 | 21012202001012100111112110000 |
4 | 30200113223021132220000 |
5 | 24202114022321341101 |
6 | 312551040004240000 |
7 | 14404456041522000 |
oct | 1440275311365000 |
9 | 235661170445400 |
10 | 55001001355776 |
11 | 16585880435003 |
12 | 62036900a0000 |
13 | 248c7590aa548 |
14 | d820c3d72000 |
15 | 655a8022e486 |
hex | 3205eb25ea00 |
55001001355776 has 1600 divisors, whose sum is σ = 203665616352000. Its totient is φ = 14771392118784.
The previous prime is 55001001355723. The next prime is 55001001355777. The reversal of 55001001355776 is 67755310010055.
55001001355776 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 10 + 0 + 13 + 557 + 76 = 666.
It is a super-2 number, since 2×550010013557762 (a number of 28 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (55001001355777) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 69886913655 + ... + 69886914441.
It is an arithmetic number, because the mean of its divisors is an integer number (127291010220).
Almost surely, 255001001355776 is an apocalyptic number.
55001001355776 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 55001001355776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101832808176000).
55001001355776 is an abundant number, since it is smaller than the sum of its proper divisors (148664614996224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55001001355776 is an frugal number, since it uses more digits than its factorization.
55001001355776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 889 (or 816 counting only the distinct ones).
The product of its (nonzero) digits is 551250, while the sum is 45.
The spelling of 55001001355776 in words is "fifty-five trillion, one billion, one million, three hundred fifty-five thousand, seven hundred seventy-six".
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