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54685312000 = 210531138839
BaseRepresentation
bin110010111011011111…
…111010010000000000
312020011010001200101221
4302323133322100000
51343443414441000
641042212004424
73644103324334
oct627337722000
9166133050357
1054685312000
1121212484330
12a722000714
13520665a1a7
14290aab77c4
151650d8a61a
hexcbb7fa400

54685312000 has 176 divisors, whose sum is σ = 148834258560. Its totient is φ = 19885056000.

The previous prime is 54685311943. The next prime is 54685312007. The reversal of 54685312000 is 21358645.

54685312000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (54685312007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1388581 + ... + 1427419.

Almost surely, 254685312000 is an apocalyptic number.

54685312000 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 54685312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74417129280).

54685312000 is an abundant number, since it is smaller than the sum of its proper divisors (94148946560).

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

54685312000 is a wasteful number, since it uses less digits than its factorization.

54685312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38885 (or 38857 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 54685312000 in words is "fifty-four billion, six hundred eighty-five million, three hundred twelve thousand".