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54323626240 = 2851331531987
BaseRepresentation
bin110010100101111100…
…001100000100000000
312012012220111010211001
4302211330030010000
51342223322014430
640542251501344
73632122130032
oct624574140400
9165186433731
1054323626240
11210472a8484
12a640a57854
135179742050
1428b4a47c52
15162e2443ca
hexca5f0c100

54323626240 has 288 divisors, whose sum is σ = 147455271936. Its totient is φ = 19035095040.

The previous prime is 54323626219. The next prime is 54323626267. The reversal of 54323626240 is 4262632345.

It is a self number, because there is not a number n which added to its sum of digits gives 54323626240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27338527 + ... + 27340513.

It is an arithmetic number, because the mean of its divisors is an integer number (511997472).

Almost surely, 254323626240 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 54323626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73727635968).

54323626240 is an abundant number, since it is smaller than the sum of its proper divisors (93131645696).

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

54323626240 is a wasteful number, since it uses less digits than its factorization.

54323626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

The spelling of 54323626240 in words is "fifty-four billion, three hundred twenty-three million, six hundred twenty-six thousand, two hundred forty".