Search a number
-
+
55533600000 = 283455857
BaseRepresentation
bin110011101110000011…
…110111110100000000
312022100020021011210000
4303232003313310000
51402213100200000
641302313440000
74004113545234
oct635603676400
9168306234700
1055533600000
11216082a669a
12a91a110000
135310319158
14298b6125c4
1516a05a0000
hexcee0f7d00

55533600000 has 540 divisors, whose sum is σ = 207217198188. Its totient is φ = 14791680000.

The previous prime is 55533599999. The next prime is 55533600029. The reversal of 55533600000 is 633555.

It is a happy number.

55533600000 is a `hidden beast` number, since 5 + 5 + 53 + 3 + 600 + 0 + 0 + 0 = 666.

55533600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 33234748416 + 22298851584 = 182304^2 + 149328^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64799572 + ... + 64800428.

Almost surely, 255533600000 is an apocalyptic number.

55533600000 is a gapful number since it is divisible by the number (50) 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 55533600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103608599094).

55533600000 is an abundant number, since it is smaller than the sum of its proper divisors (151683598188).

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

55533600000 is an frugal number, since it uses more digits than its factorization.

55533600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The spelling of 55533600000 in words is "fifty-five billion, five hundred thirty-three million, six hundred thousand".