Base | Representation |
---|---|
bin | 110011111100101111… |
… | …010100001011000000 |
3 | 12022222101122221212000 |
4 | 303330233110023000 |
5 | 1403214121310001 |
6 | 41342552104000 |
7 | 4013164031610 |
oct | 637457241300 |
9 | 168871587760 |
10 | 55779869376 |
11 | 21724311500 |
12 | a988695000 |
13 | 534c35378a |
14 | 29b21daa40 |
15 | 16b6ee8a86 |
hex | cfcbd42c0 |
55779869376 has 672 divisors, whose sum is σ = 215080535040. Its totient is φ = 13849989120.
The previous prime is 55779869371. The next prime is 55779869393. The reversal of 55779869376 is 67396897755.
55779869376 is a `hidden beast` number, since 557 + 7 + 9 + 8 + 69 + 3 + 7 + 6 = 666.
55779869376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×557798693762 (a number of 22 digits) contains 22 as substring.
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 (55779869371) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33662340 + ... + 33663996.
It is an arithmetic number, because the mean of its divisors is an integer number (320060320).
Almost surely, 255779869376 is an apocalyptic number.
55779869376 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 55779869376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107540267520).
55779869376 is an abundant number, since it is smaller than the sum of its proper divisors (159300665664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55779869376 is a wasteful number, since it uses less digits than its factorization.
55779869376 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1730 (or 1703 counting only the distinct ones).
The product of its digits is 600112800, while the sum is 72.
The spelling of 55779869376 in words is "fifty-five billion, seven hundred seventy-nine million, eight hundred sixty-nine thousand, three hundred seventy-six".
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