Search a number
-
+
54452055600 = 2434523374987
BaseRepresentation
bin110010101101100110…
…000110111000110000
312012112212011000210000
4302231212012320300
51343004211234400
641003120310000
73635241556455
oct625546067060
9165485130700
1054452055600
1121102847348
12a677a72300
13519a22a957
1428c7b1982c
15163a662600
hexcad986e30

54452055600 has 300 divisors, whose sum is σ = 196043254264. Its totient is φ = 14474557440.

The previous prime is 54452055583. The next prime is 54452055601. The reversal of 54452055600 is 655025445.

54452055600 is a `hidden beast` number, since 5 + 4 + 45 + 2 + 0 + 5 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (54452055601) 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 59 ways as a sum of consecutive naturals, for example, 10916307 + ... + 10921293.

Almost surely, 254452055600 is an apocalyptic number.

54452055600 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 54452055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98021627132).

54452055600 is an abundant number, since it is smaller than the sum of its proper divisors (141591198664).

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

54452055600 is a wasteful number, since it uses less digits than its factorization.

54452055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354 (or 5334 counting only the distinct ones).

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

The spelling of 54452055600 in words is "fifty-four billion, four hundred fifty-two million, fifty-five thousand, six hundred".