Search a number
-
+
54568960000 = 21454732
BaseRepresentation
bin110010110100100100…
…000100000000000000
312012212000010101110121
4302310210010000000
51343224123210000
641022454110024
73641161335562
oct626444040000
9165760111417
1054568960000
1121162834355
12a6ab04b314
1351b850c859
1428d946b332
151645a55b1a
hexcb4904000

54568960000 has 225 divisors, whose sum is σ = 138268318881. Its totient is φ = 21528576000.

The previous prime is 54568959997. The next prime is 54568960001. The reversal of 54568960000 is 6986545.

The square root of 54568960000 is 233600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 38705053696 + 15863906304 = 196736^2 + 125952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54568960001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 747519964 + ... + 747520036.

Almost surely, 254568960000 is an apocalyptic number.

54568960000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54568960000 is the 233600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54568960000

54568960000 is an abundant number, since it is smaller than the sum of its proper divisors (83699358881).

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

54568960000 is an frugal number, since it uses more digits than its factorization.

54568960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 54568960000 in words is "fifty-four billion, five hundred sixty-eight million, nine hundred sixty thousand".