Search a number
-
+
55524546000 = 24325372115997
BaseRepresentation
bin110011101101100001…
…010101010111010000
312022022121020012000200
4303231201111113100
51402203240433000
641301351415200
74003643565600
oct635541252720
9168277205020
1055524546000
1121603182250
12a917084500
13530b499061
14298a336c00
15169e8b2500
hexced8555d0

55524546000 has 1440 divisors, whose sum is σ = 252850066560. Its totient is φ = 11225088000.

The previous prime is 55524545957. The next prime is 55524546001. The reversal of 55524546000 is 64542555.

55524546000 is a `hidden beast` number, since 5 + 5 + 5 + 2 + 45 + 4 + 600 + 0 = 666.

55524546000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×555245460002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55524546001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 572417952 + ... + 572418048.

It is an arithmetic number, because the mean of its divisors is an integer number (175590324).

Almost surely, 255524546000 is an apocalyptic number.

55524546000 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 55524546000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126425033280).

55524546000 is an abundant number, since it is smaller than the sum of its proper divisors (197325520560).

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

55524546000 is a wasteful number, since it uses less digits than its factorization.

55524546000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 55524546000 in words is "fifty-five billion, five hundred twenty-four million, five hundred forty-six thousand".