Base | Representation |
---|---|
bin | 110011100011011100… |
… | …110100100100100000 |
3 | 12021212211022101021000 |
4 | 303203130310210200 |
5 | 1401332012402234 |
6 | 41232514232000 |
7 | 3666522521343 |
oct | 634334644440 |
9 | 167784271230 |
10 | 55355590944 |
11 | 21526873875 |
12 | a88a585600 |
13 | 52b2491554 |
14 | 2971b1645a |
15 | 168eb3b899 |
hex | ce3734920 |
55355590944 has 384 divisors, whose sum is σ = 179448514560. Its totient is φ = 16522444800.
The previous prime is 55355590943. The next prime is 55355590951. The reversal of 55355590944 is 44909555355.
55355590944 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 5 + 590 + 9 + 44 = 666.
It is a super-3 number, since 3×553555909443 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (55355590943) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27774012 + ... + 27776004.
It is an arithmetic number, because the mean of its divisors is an integer number (467313840).
Almost surely, 255355590944 is an apocalyptic number.
55355590944 is a gapful number since it is divisible by the number (54) 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 55355590944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89724257280).
55355590944 is an abundant number, since it is smaller than the sum of its proper divisors (124092923616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55355590944 is a wasteful number, since it uses less digits than its factorization.
55355590944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2121 (or 2107 counting only the distinct ones).
The product of its (nonzero) digits is 12150000, while the sum is 54.
The spelling of 55355590944 in words is "fifty-five billion, three hundred fifty-five million, five hundred ninety thousand, nine hundred forty-four".
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