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54980538336 = 25321947313683
BaseRepresentation
bin110011001101000110…
…000110111111100000
312020220200120201210200
4303031012012333200
51400100004211321
641131355425200
73654316602453
oct631506067740
9166820521720
1054980538336
1121354098239
12a7a4a55200
135252876229
142937da749a
15166bc54d26
hexccd186fe0

54980538336 has 288 divisors, whose sum is σ = 168865482240. Its totient is φ = 16913774592.

The previous prime is 54980538269. The next prime is 54980538341. The reversal of 54980538336 is 63383508945.

It is a happy number.

54980538336 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 (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80498251 + ... + 80498933.

It is an arithmetic number, because the mean of its divisors is an integer number (586338480).

Almost surely, 254980538336 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 54980538336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84432741120).

54980538336 is an abundant number, since it is smaller than the sum of its proper divisors (113884943904).

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

54980538336 is a wasteful number, since it uses less digits than its factorization.

54980538336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 54980538336 in words is "fifty-four billion, nine hundred eighty million, five hundred thirty-eight thousand, three hundred thirty-six".