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54038494080 = 27325372271117
BaseRepresentation
bin110010010100111100…
…011111101110000000
312011111000221221000200
4302110330133232000
51341132323302310
640454104245200
73622060422654
oct622474375600
9164430857020
1054038494080
1120a1035946a
12a581470800
13513264b6ac
142888c24a64
1516141c09c0
hexc94f1fb80

54038494080 has 384 divisors, whose sum is σ = 192661541280. Its totient is φ = 13946535936.

The previous prime is 54038494079. The next prime is 54038494087. The reversal of 54038494080 is 8049483045.

It is a happy number.

54038494080 is a `hidden beast` number, since 5 + 403 + 84 + 94 + 0 + 80 = 666.

54038494080 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54038494087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48377682 + ... + 48378798.

Almost surely, 254038494080 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 54038494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96330770640).

54038494080 is an abundant number, since it is smaller than the sum of its proper divisors (138623047200).

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

54038494080 is a wasteful number, since it uses less digits than its factorization.

54038494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 54038494080 in words is "fifty-four billion, thirty-eight million, four hundred ninety-four thousand, eighty".