Base | Representation |
---|---|
bin | 11001011011001011010001… |
… | …01010000101001000000000 |
3 | 21022221212210101121110110000 |
4 | 30231211220222011020000 |
5 | 24312004314324403121 |
6 | 314524222032240000 |
7 | 14530213456435350 |
oct | 1455455052051000 |
9 | 238855711543400 |
10 | 55909345153536 |
11 | 168a6024870626 |
12 | 632b7326a0000 |
13 | 25272c83a0894 |
14 | db4053556b60 |
15 | 66e4e5017526 |
hex | 32d968a85200 |
55909345153536 has 3200 divisors, whose sum is σ = 220939464683520. Its totient is φ = 13706956505088.
The previous prime is 55909345153531. The next prime is 55909345153633. The reversal of 55909345153536 is 63535154390955.
It is a happy number.
55909345153536 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 9 + 3 + 45 + 1 + 53 + 536 = 666.
It is a super-3 number, since 3×559093451535363 (a number of 42 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 (63).
It is not an unprimeable number, because it can be changed into a prime (55909345153531) 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 319 ways as a sum of consecutive naturals, for example, 201838791030 + ... + 201838791306.
Almost surely, 255909345153536 is an apocalyptic number.
55909345153536 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 55909345153536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110469732341760).
55909345153536 is an abundant number, since it is smaller than the sum of its proper divisors (165030119529984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55909345153536 is a wasteful number, since it uses less digits than its factorization.
55909345153536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 436 (or 411 counting only the distinct ones).
The product of its (nonzero) digits is 164025000, while the sum is 63.
The spelling of 55909345153536 in words is "fifty-five trillion, nine hundred nine billion, three hundred forty-five million, one hundred fifty-three thousand, five hundred thirty-six".
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