Search a number
-
+
55585347323040 = 25385174766271
BaseRepresentation
bin11001010001101111110001…
…11000011100010010100000
321021210220111102112100000000
430220313320320130102200
524241202242403314130
6314115320034300000
714464623503346423
oct1450677070342240
9237726442470000
1055585347323040
1116790682503067
126298990427600
1325028a2855292
14da24b91c19ba
15665d80b45260
hex328df8e1c4a0

55585347323040 has 864 divisors, whose sum is σ = 212997669341184. Its totient is φ = 13653800017920.

The previous prime is 55585347322963. The next prime is 55585347323053. The reversal of 55585347323040 is 4032374358555.

55585347323040 is a `hidden beast` number, since 5 + 5 + 5 + 8 + 534 + 7 + 32 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×555853473230402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 838725105 + ... + 838791375.

It is an arithmetic number, because the mean of its divisors is an integer number (246525080256).

Almost surely, 255585347323040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55585347323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106498834670592).

55585347323040 is an abundant number, since it is smaller than the sum of its proper divisors (157412322018144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55585347323040 is an equidigital number, since it uses as much as digits as its factorization.

55585347323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66374 (or 66345 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 54.

The spelling of 55585347323040 in words is "fifty-five trillion, five hundred eighty-five billion, three hundred forty-seven million, three hundred twenty-three thousand, forty".